%------------------------------------------------------------------------------
% File : LEO-II---2.3.1
% Problem : SEV041^5 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Oct 7 10:49:25 AM UTC 2026
% Result : Theorem 24.51s 4.39s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 1
% Syntax : Number of formulae : 556 ( 221 unt; 0 typ; 0 def)
% Number of atoms : 4312 (1206 equ; 0 cnn)
% Maximal formula atoms : 4 ( 7 avg)
% Number of connectives : 8289 (1089 ~;1202 |; 122 &;5699 @)
% ( 0 <=>; 177 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Number of types : 3 ( 2 usr)
% Number of type conns : 161 ( 161 >; 0 *; 0 +; 0 <<)
% Number of symbols : 24 ( 21 usr; 12 con; 0-3 aty)
% Number of variables : 2194 ( 62 ^;2132 !; 0 ?;2194 :)
% Comments :
%------------------------------------------------------------------------------
thf(tp_a,type,
a: $tType ).
thf(tp_b,type,
b: $tType ).
thf(tp_sK10_SY225,type,
sK10_SY225: a > b ).
thf(tp_sK11_SY233,type,
sK11_SY233: a > b ).
thf(tp_sK12_SY244,type,
sK12_SY244: a ).
thf(tp_sK13_SY246,type,
sK13_SY246: a ).
thf(tp_sK14_SV85,type,
sK14_SV85: a > b ).
thf(tp_sK15_SV89,type,
sK15_SV89: a > b ).
thf(tp_sK16_SY321,type,
sK16_SY321: a ).
thf(tp_sK17_SY341,type,
sK17_SY341: a ).
thf(tp_sK18_SY323,type,
sK18_SY323: a ).
thf(tp_sK19_SY323,type,
sK19_SY323: a ).
thf(tp_sK1_Xp,type,
sK1_Xp: a > a > $o ).
thf(tp_sK20_SY348,type,
sK20_SY348: a ).
thf(tp_sK21_SY349,type,
sK21_SY349: a ).
thf(tp_sK2_SY45,type,
sK2_SY45: a > a > $o ).
thf(tp_sK3_SY89,type,
sK3_SY89: a > b > b > $o ).
thf(tp_sK4_SY132,type,
sK4_SY132: a > b > b > $o ).
thf(tp_sK5_SY151,type,
sK5_SY151: a > b ).
thf(tp_sK6_SY215,type,
sK6_SY215: a > b ).
thf(tp_sK7_SY222,type,
sK7_SY222: a ).
thf(tp_sK8_SY224,type,
sK8_SY224: a ).
thf(tp_sK9_SY157,type,
sK9_SY157: a > b ).
thf(1,conjecture,
! [Xp: a > a > $o,Xq: a > a > $o,Xr: a > b > b > $o,Xs: a > b > b > $o] :
( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xr @ Xx @ Xx0 @ Xy0 )
=> ( Xr @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy0 )
& ( Xr @ Xx @ Xy0 @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xr @ Xy ) ) ) )
=> ( ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( Xr @ Xx @ Xx0 @ Xy )
=> ( Xr @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy )
& ( Xr @ Xx @ Xy @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xs @ Xx ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
& ( ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) )
= ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xq @ Xx @ Xy )
=> ( Xs @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cTHM517_pme) ).
thf(2,negated_conjecture,
( ( ! [Xp: a > a > $o,Xq: a > a > $o,Xr: a > b > b > $o,Xs: a > b > b > $o] :
( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xr @ Xx @ Xx0 @ Xy0 )
=> ( Xr @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy0 )
& ( Xr @ Xx @ Xy0 @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xr @ Xy ) ) ) )
=> ( ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( Xr @ Xx @ Xx0 @ Xy )
=> ( Xr @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy )
& ( Xr @ Xx @ Xy @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xs @ Xx ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
& ( ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) )
= ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xq @ Xx @ Xy )
=> ( Xs @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) ) )
= $false ),
inference(negate_conjecture,[status(cth)],[1]) ).
thf(3,plain,
( ( ! [Xp: a > a > $o,Xq: a > a > $o,Xr: a > b > b > $o,Xs: a > b > b > $o] :
( ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xp @ Xy @ Xx ) )
& ! [Xx: a,Xy: a,Xz: a] :
( ( ( Xp @ Xx @ Xy )
& ( Xp @ Xy @ Xz ) )
=> ( Xp @ Xx @ Xz ) )
& ( Xp = Xq ) )
=> ( ! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( ! [Xx0: b,Xy0: b] :
( ( Xr @ Xx @ Xx0 @ Xy0 )
=> ( Xr @ Xx @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy0 )
& ( Xr @ Xx @ Xy0 @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xr @ Xy ) ) ) )
=> ( ! [Xx: a] :
( ( Xp @ Xx @ Xx )
=> ( ! [Xx0: b,Xy: b] :
( ( Xr @ Xx @ Xx0 @ Xy )
=> ( Xr @ Xx @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( Xr @ Xx @ Xx0 @ Xy )
& ( Xr @ Xx @ Xy @ Xz ) )
=> ( Xr @ Xx @ Xx0 @ Xz ) )
& ( ( Xr @ Xx )
= ( Xs @ Xx ) ) ) )
=> ( ! [Xx: a > b,Xy: a > b] :
( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xx @ Xy0 ) ) ) )
& ! [Xx: a > b,Xy: a > b,Xz: a > b] :
( ( ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xy @ Xy0 ) ) )
& ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xy @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
=> ! [Xx0: a,Xy0: a] :
( ( Xp @ Xx0 @ Xy0 )
=> ( Xr @ Xx0 @ ( Xx @ Xx0 ) @ ( Xz @ Xy0 ) ) ) )
& ( ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xp @ Xx @ Xy )
=> ( Xr @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) )
= ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( Xq @ Xx @ Xy )
=> ( Xs @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) ) )
= $false ),
inference(unfold_def,[status(thm)],[2]) ).
thf(4,plain,
( ( ! [SY45: a > a > $o,SY46: a > b > b > $o,SY47: a > b > b > $o] :
( ( ! [SY48: a,SY49: a] :
( ( sK1_Xp @ SY48 @ SY49 )
=> ( sK1_Xp @ SY49 @ SY48 ) )
& ! [SY50: a,SY51: a,SY52: a] :
( ( ( sK1_Xp @ SY50 @ SY51 )
& ( sK1_Xp @ SY51 @ SY52 ) )
=> ( sK1_Xp @ SY50 @ SY52 ) )
& ( sK1_Xp = SY45 ) )
=> ( ! [SY53: a,SY54: a] :
( ( sK1_Xp @ SY53 @ SY54 )
=> ( ! [Xx0: b,Xy0: b] :
( ( SY46 @ SY53 @ Xx0 @ Xy0 )
=> ( SY46 @ SY53 @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( SY46 @ SY53 @ Xx0 @ Xy0 )
& ( SY46 @ SY53 @ Xy0 @ Xz ) )
=> ( SY46 @ SY53 @ Xx0 @ Xz ) )
& ( ( SY46 @ SY53 )
= ( SY46 @ SY54 ) ) ) )
=> ( ! [SY60: a] :
( ( sK1_Xp @ SY60 @ SY60 )
=> ( ! [Xx0: b,Xy: b] :
( ( SY46 @ SY60 @ Xx0 @ Xy )
=> ( SY46 @ SY60 @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( SY46 @ SY60 @ Xx0 @ Xy )
& ( SY46 @ SY60 @ Xy @ Xz ) )
=> ( SY46 @ SY60 @ Xx0 @ Xz ) )
& ( ( SY46 @ SY60 )
= ( SY47 @ SY60 ) ) ) )
=> ( ! [SY66: a > b,SY67: a > b] :
( ! [SY68: a,SY69: a] :
( ( sK1_Xp @ SY68 @ SY69 )
=> ( SY46 @ SY68 @ ( SY66 @ SY68 ) @ ( SY67 @ SY69 ) ) )
=> ! [SY70: a,SY71: a] :
( ( sK1_Xp @ SY70 @ SY71 )
=> ( SY46 @ SY70 @ ( SY67 @ SY70 ) @ ( SY66 @ SY71 ) ) ) )
& ! [SY72: a > b,SY73: a > b,SY74: a > b] :
( ( ! [SY75: a,SY76: a] :
( ( sK1_Xp @ SY75 @ SY76 )
=> ( SY46 @ SY75 @ ( SY72 @ SY75 ) @ ( SY73 @ SY76 ) ) )
& ! [SY77: a,SY78: a] :
( ( sK1_Xp @ SY77 @ SY78 )
=> ( SY46 @ SY77 @ ( SY73 @ SY77 ) @ ( SY74 @ SY78 ) ) ) )
=> ! [SY79: a,SY80: a] :
( ( sK1_Xp @ SY79 @ SY80 )
=> ( SY46 @ SY79 @ ( SY72 @ SY79 ) @ ( SY74 @ SY80 ) ) ) )
& ( ( ^ [SY81: a > b,SY82: a > b] :
! [SY83: a,SY84: a] :
( ( sK1_Xp @ SY83 @ SY84 )
=> ( SY46 @ SY83 @ ( SY81 @ SY83 ) @ ( SY82 @ SY84 ) ) ) )
= ( ^ [Xf: a > b,Xg: a > b] :
! [Xx: a,Xy: a] :
( ( SY45 @ Xx @ Xy )
=> ( SY47 @ Xx @ ( Xf @ Xx ) @ ( Xg @ Xy ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[3]) ).
thf(5,plain,
( ( ! [SY89: a > b > b > $o,SY90: a > b > b > $o] :
( ( ! [SY48: a,SY49: a] :
( ( sK1_Xp @ SY48 @ SY49 )
=> ( sK1_Xp @ SY49 @ SY48 ) )
& ! [SY50: a,SY51: a,SY52: a] :
( ( ( sK1_Xp @ SY50 @ SY51 )
& ( sK1_Xp @ SY51 @ SY52 ) )
=> ( sK1_Xp @ SY50 @ SY52 ) )
& ( sK1_Xp = sK2_SY45 ) )
=> ( ! [SY53: a,SY54: a] :
( ( sK1_Xp @ SY53 @ SY54 )
=> ( ! [Xx0: b,Xy0: b] :
( ( SY89 @ SY53 @ Xx0 @ Xy0 )
=> ( SY89 @ SY53 @ Xy0 @ Xx0 ) )
& ! [Xx0: b,Xy0: b,Xz: b] :
( ( ( SY89 @ SY53 @ Xx0 @ Xy0 )
& ( SY89 @ SY53 @ Xy0 @ Xz ) )
=> ( SY89 @ SY53 @ Xx0 @ Xz ) )
& ( ( SY89 @ SY53 )
= ( SY89 @ SY54 ) ) ) )
=> ( ! [SY60: a] :
( ( sK1_Xp @ SY60 @ SY60 )
=> ( ! [Xx0: b,Xy: b] :
( ( SY89 @ SY60 @ Xx0 @ Xy )
=> ( SY89 @ SY60 @ Xy @ Xx0 ) )
& ! [Xx0: b,Xy: b,Xz: b] :
( ( ( SY89 @ SY60 @ Xx0 @ Xy )
& ( SY89 @ SY60 @ Xy @ Xz ) )
=> ( SY89 @ SY60 @ Xx0 @ Xz ) )
& ( ( SY89 @ SY60 )
= ( SY90 @ SY60 ) ) ) )
=> ( ! [SY66: a > b,SY67: a > b] :
( ! [SY68: a,SY69: a] :
( ( sK1_Xp @ SY68 @ SY69 )
=> ( SY89 @ SY68 @ ( SY66 @ SY68 ) @ ( SY67 @ SY69 ) ) )
=> ! [SY70: a,SY71: a] :
( ( sK1_Xp @ SY70 @ SY71 )
=> ( SY89 @ SY70 @ ( SY67 @ SY70 ) @ ( SY66 @ SY71 ) ) ) )
& ! [SY72: a > b,SY73: a > b,SY74: a > b] :
( ( ! [SY75: a,SY76: a] :
( ( sK1_Xp @ SY75 @ SY76 )
=> ( SY89 @ SY75 @ ( SY72 @ SY75 ) @ ( SY73 @ SY76 ) ) )
& ! [SY77: a,SY78: a] :
( ( sK1_Xp @ SY77 @ SY78 )
=> ( SY89 @ SY77 @ ( SY73 @ SY77 ) @ ( SY74 @ SY78 ) ) ) )
=> ! [SY79: a,SY80: a] :
( ( sK1_Xp @ SY79 @ SY80 )
=> ( SY89 @ SY79 @ ( SY72 @ SY79 ) @ ( SY74 @ SY80 ) ) ) )
& ( ( ^ [SY81: a > b,SY82: a > b] :
! [SY83: a,SY84: a] :
( ( sK1_Xp @ SY83 @ SY84 )
=> ( SY89 @ SY83 @ ( SY81 @ SY83 ) @ ( SY82 @ SY84 ) ) ) )
= ( ^ [SY128: a > b,SY129: a > b] :
! [SY130: a,SY131: a] :
( ( sK2_SY45 @ SY130 @ SY131 )
=> ( SY90 @ SY130 @ ( SY128 @ SY130 ) @ ( SY129 @ SY131 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[4]) ).
thf(6,plain,
( ( ! [SY132: a > b > b > $o] :
( ( ! [SY48: a,SY49: a] :
( ( sK1_Xp @ SY48 @ SY49 )
=> ( sK1_Xp @ SY49 @ SY48 ) )
& ! [SY50: a,SY51: a,SY52: a] :
( ( ( sK1_Xp @ SY50 @ SY51 )
& ( sK1_Xp @ SY51 @ SY52 ) )
=> ( sK1_Xp @ SY50 @ SY52 ) )
& ( sK1_Xp = sK2_SY45 ) )
=> ( ! [SY138: a,SY139: a] :
( ( sK1_Xp @ SY138 @ SY139 )
=> ( ! [SY140: b,SY141: b] :
( ( sK3_SY89 @ SY138 @ SY140 @ SY141 )
=> ( sK3_SY89 @ SY138 @ SY141 @ SY140 ) )
& ! [SY142: b,SY143: b,SY144: b] :
( ( ( sK3_SY89 @ SY138 @ SY142 @ SY143 )
& ( sK3_SY89 @ SY138 @ SY143 @ SY144 ) )
=> ( sK3_SY89 @ SY138 @ SY142 @ SY144 ) )
& ( ( sK3_SY89 @ SY138 )
= ( sK3_SY89 @ SY139 ) ) ) )
=> ( ! [SY145: a] :
( ( sK1_Xp @ SY145 @ SY145 )
=> ( ! [SY146: b,SY147: b] :
( ( sK3_SY89 @ SY145 @ SY146 @ SY147 )
=> ( sK3_SY89 @ SY145 @ SY147 @ SY146 ) )
& ! [SY148: b,SY149: b,SY150: b] :
( ( ( sK3_SY89 @ SY145 @ SY148 @ SY149 )
& ( sK3_SY89 @ SY145 @ SY149 @ SY150 ) )
=> ( sK3_SY89 @ SY145 @ SY148 @ SY150 ) )
& ( ( sK3_SY89 @ SY145 )
= ( SY132 @ SY145 ) ) ) )
=> ( ! [SY151: a > b,SY152: a > b] :
( ! [SY153: a,SY154: a] :
( ( sK1_Xp @ SY153 @ SY154 )
=> ( sK3_SY89 @ SY153 @ ( SY151 @ SY153 ) @ ( SY152 @ SY154 ) ) )
=> ! [SY155: a,SY156: a] :
( ( sK1_Xp @ SY155 @ SY156 )
=> ( sK3_SY89 @ SY155 @ ( SY152 @ SY155 ) @ ( SY151 @ SY156 ) ) ) )
& ! [SY157: a > b,SY158: a > b,SY159: a > b] :
( ( ! [SY160: a,SY161: a] :
( ( sK1_Xp @ SY160 @ SY161 )
=> ( sK3_SY89 @ SY160 @ ( SY157 @ SY160 ) @ ( SY158 @ SY161 ) ) )
& ! [SY162: a,SY163: a] :
( ( sK1_Xp @ SY162 @ SY163 )
=> ( sK3_SY89 @ SY162 @ ( SY158 @ SY162 ) @ ( SY159 @ SY163 ) ) ) )
=> ! [SY164: a,SY165: a] :
( ( sK1_Xp @ SY164 @ SY165 )
=> ( sK3_SY89 @ SY164 @ ( SY157 @ SY164 ) @ ( SY159 @ SY165 ) ) ) )
& ( ( ^ [SY166: a > b,SY167: a > b] :
! [SY168: a,SY169: a] :
( ( sK1_Xp @ SY168 @ SY169 )
=> ( sK3_SY89 @ SY168 @ ( SY166 @ SY168 ) @ ( SY167 @ SY169 ) ) ) )
= ( ^ [SY128: a > b,SY129: a > b] :
! [SY130: a,SY131: a] :
( ( sK2_SY45 @ SY130 @ SY131 )
=> ( SY132 @ SY130 @ ( SY128 @ SY130 ) @ ( SY129 @ SY131 ) ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[5]) ).
thf(7,plain,
( ( ( ! [SY48: a,SY49: a] :
( ( sK1_Xp @ SY48 @ SY49 )
=> ( sK1_Xp @ SY49 @ SY48 ) )
& ! [SY50: a,SY51: a,SY52: a] :
( ( ( sK1_Xp @ SY50 @ SY51 )
& ( sK1_Xp @ SY51 @ SY52 ) )
=> ( sK1_Xp @ SY50 @ SY52 ) )
& ( sK1_Xp = sK2_SY45 ) )
=> ( ! [SY138: a,SY139: a] :
( ( sK1_Xp @ SY138 @ SY139 )
=> ( ! [SY140: b,SY141: b] :
( ( sK3_SY89 @ SY138 @ SY140 @ SY141 )
=> ( sK3_SY89 @ SY138 @ SY141 @ SY140 ) )
& ! [SY142: b,SY143: b,SY144: b] :
( ( ( sK3_SY89 @ SY138 @ SY142 @ SY143 )
& ( sK3_SY89 @ SY138 @ SY143 @ SY144 ) )
=> ( sK3_SY89 @ SY138 @ SY142 @ SY144 ) )
& ( ( sK3_SY89 @ SY138 )
= ( sK3_SY89 @ SY139 ) ) ) )
=> ( ! [SY186: a] :
( ( sK1_Xp @ SY186 @ SY186 )
=> ( ! [SY146: b,SY147: b] :
( ( sK3_SY89 @ SY186 @ SY146 @ SY147 )
=> ( sK3_SY89 @ SY186 @ SY147 @ SY146 ) )
& ! [SY148: b,SY149: b,SY150: b] :
( ( ( sK3_SY89 @ SY186 @ SY148 @ SY149 )
& ( sK3_SY89 @ SY186 @ SY149 @ SY150 ) )
=> ( sK3_SY89 @ SY186 @ SY148 @ SY150 ) )
& ( ( sK3_SY89 @ SY186 )
= ( sK4_SY132 @ SY186 ) ) ) )
=> ( ! [SY151: a > b,SY152: a > b] :
( ! [SY153: a,SY154: a] :
( ( sK1_Xp @ SY153 @ SY154 )
=> ( sK3_SY89 @ SY153 @ ( SY151 @ SY153 ) @ ( SY152 @ SY154 ) ) )
=> ! [SY155: a,SY156: a] :
( ( sK1_Xp @ SY155 @ SY156 )
=> ( sK3_SY89 @ SY155 @ ( SY152 @ SY155 ) @ ( SY151 @ SY156 ) ) ) )
& ! [SY157: a > b,SY158: a > b,SY159: a > b] :
( ( ! [SY160: a,SY161: a] :
( ( sK1_Xp @ SY160 @ SY161 )
=> ( sK3_SY89 @ SY160 @ ( SY157 @ SY160 ) @ ( SY158 @ SY161 ) ) )
& ! [SY162: a,SY163: a] :
( ( sK1_Xp @ SY162 @ SY163 )
=> ( sK3_SY89 @ SY162 @ ( SY158 @ SY162 ) @ ( SY159 @ SY163 ) ) ) )
=> ! [SY164: a,SY165: a] :
( ( sK1_Xp @ SY164 @ SY165 )
=> ( sK3_SY89 @ SY164 @ ( SY157 @ SY164 ) @ ( SY159 @ SY165 ) ) ) )
& ( ( ^ [SY166: a > b,SY167: a > b] :
! [SY168: a,SY169: a] :
( ( sK1_Xp @ SY168 @ SY169 )
=> ( sK3_SY89 @ SY168 @ ( SY166 @ SY168 ) @ ( SY167 @ SY169 ) ) ) )
= ( ^ [SY211: a > b,SY212: a > b] :
! [SY213: a,SY214: a] :
( ( sK2_SY45 @ SY213 @ SY214 )
=> ( sK4_SY132 @ SY213 @ ( SY211 @ SY213 ) @ ( SY212 @ SY214 ) ) ) ) ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[6]) ).
thf(8,plain,
( ( ! [SY48: a,SY49: a] :
( ( sK1_Xp @ SY48 @ SY49 )
=> ( sK1_Xp @ SY49 @ SY48 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(9,plain,
( ( ! [SY50: a,SY51: a,SY52: a] :
( ( ( sK1_Xp @ SY50 @ SY51 )
& ( sK1_Xp @ SY51 @ SY52 ) )
=> ( sK1_Xp @ SY50 @ SY52 ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(10,plain,
( ( sK1_Xp = sK2_SY45 )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(11,plain,
( ( ! [SY138: a,SY139: a] :
( ( sK1_Xp @ SY138 @ SY139 )
=> ( ! [SY140: b,SY141: b] :
( ( sK3_SY89 @ SY138 @ SY140 @ SY141 )
=> ( sK3_SY89 @ SY138 @ SY141 @ SY140 ) )
& ! [SY142: b,SY143: b,SY144: b] :
( ( ( sK3_SY89 @ SY138 @ SY142 @ SY143 )
& ( sK3_SY89 @ SY138 @ SY143 @ SY144 ) )
=> ( sK3_SY89 @ SY138 @ SY142 @ SY144 ) )
& ( ( sK3_SY89 @ SY138 )
= ( sK3_SY89 @ SY139 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(12,plain,
( ( ! [SY186: a] :
( ( sK1_Xp @ SY186 @ SY186 )
=> ( ! [SY146: b,SY147: b] :
( ( sK3_SY89 @ SY186 @ SY146 @ SY147 )
=> ( sK3_SY89 @ SY186 @ SY147 @ SY146 ) )
& ! [SY148: b,SY149: b,SY150: b] :
( ( ( sK3_SY89 @ SY186 @ SY148 @ SY149 )
& ( sK3_SY89 @ SY186 @ SY149 @ SY150 ) )
=> ( sK3_SY89 @ SY186 @ SY148 @ SY150 ) )
& ( ( sK3_SY89 @ SY186 )
= ( sK4_SY132 @ SY186 ) ) ) ) )
= $true ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(13,plain,
( ( ! [SY151: a > b,SY152: a > b] :
( ! [SY153: a,SY154: a] :
( ( sK1_Xp @ SY153 @ SY154 )
=> ( sK3_SY89 @ SY153 @ ( SY151 @ SY153 ) @ ( SY152 @ SY154 ) ) )
=> ! [SY155: a,SY156: a] :
( ( sK1_Xp @ SY155 @ SY156 )
=> ( sK3_SY89 @ SY155 @ ( SY152 @ SY155 ) @ ( SY151 @ SY156 ) ) ) )
& ! [SY157: a > b,SY158: a > b,SY159: a > b] :
( ( ! [SY160: a,SY161: a] :
( ( sK1_Xp @ SY160 @ SY161 )
=> ( sK3_SY89 @ SY160 @ ( SY157 @ SY160 ) @ ( SY158 @ SY161 ) ) )
& ! [SY162: a,SY163: a] :
( ( sK1_Xp @ SY162 @ SY163 )
=> ( sK3_SY89 @ SY162 @ ( SY158 @ SY162 ) @ ( SY159 @ SY163 ) ) ) )
=> ! [SY164: a,SY165: a] :
( ( sK1_Xp @ SY164 @ SY165 )
=> ( sK3_SY89 @ SY164 @ ( SY157 @ SY164 ) @ ( SY159 @ SY165 ) ) ) )
& ( ( ^ [SY166: a > b,SY167: a > b] :
! [SY168: a,SY169: a] :
( ( sK1_Xp @ SY168 @ SY169 )
=> ( sK3_SY89 @ SY168 @ ( SY166 @ SY168 ) @ ( SY167 @ SY169 ) ) ) )
= ( ^ [SY211: a > b,SY212: a > b] :
! [SY213: a,SY214: a] :
( ( sK2_SY45 @ SY213 @ SY214 )
=> ( sK4_SY132 @ SY213 @ ( SY211 @ SY213 ) @ ( SY212 @ SY214 ) ) ) ) ) )
= $false ),
inference(standard_cnf,[status(thm)],[7]) ).
thf(14,plain,
( ( ! [SY151: a > b,SY152: a > b] :
( ! [SY153: a,SY154: a] :
( ( sK1_Xp @ SY153 @ SY154 )
=> ( sK3_SY89 @ SY153 @ ( SY151 @ SY153 ) @ ( SY152 @ SY154 ) ) )
=> ! [SY155: a,SY156: a] :
( ( sK1_Xp @ SY155 @ SY156 )
=> ( sK3_SY89 @ SY155 @ ( SY152 @ SY155 ) @ ( SY151 @ SY156 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(15,plain,
( ( ! [SY157: a > b,SY158: a > b,SY159: a > b] :
( ( ! [SY160: a,SY161: a] :
( ( sK1_Xp @ SY160 @ SY161 )
=> ( sK3_SY89 @ SY160 @ ( SY157 @ SY160 ) @ ( SY158 @ SY161 ) ) )
& ! [SY162: a,SY163: a] :
( ( sK1_Xp @ SY162 @ SY163 )
=> ( sK3_SY89 @ SY162 @ ( SY158 @ SY162 ) @ ( SY159 @ SY163 ) ) ) )
=> ! [SY164: a,SY165: a] :
( ( sK1_Xp @ SY164 @ SY165 )
=> ( sK3_SY89 @ SY164 @ ( SY157 @ SY164 ) @ ( SY159 @ SY165 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(16,plain,
( ( ( ^ [SY166: a > b,SY167: a > b] :
! [SY168: a,SY169: a] :
( ( sK1_Xp @ SY168 @ SY169 )
=> ( sK3_SY89 @ SY168 @ ( SY166 @ SY168 ) @ ( SY167 @ SY169 ) ) ) )
= ( ^ [SY211: a > b,SY212: a > b] :
! [SY213: a,SY214: a] :
( ( sK2_SY45 @ SY213 @ SY214 )
=> ( sK4_SY132 @ SY213 @ ( SY211 @ SY213 ) @ ( SY212 @ SY214 ) ) ) ) )
= $false ),
inference(split_conjecture,[split_conjecture(split,[])],[13]) ).
thf(17,plain,
( ( ~ ! [SY151: a > b,SY152: a > b] :
( ! [SY153: a,SY154: a] :
( ( sK1_Xp @ SY153 @ SY154 )
=> ( sK3_SY89 @ SY153 @ ( SY151 @ SY153 ) @ ( SY152 @ SY154 ) ) )
=> ! [SY155: a,SY156: a] :
( ( sK1_Xp @ SY155 @ SY156 )
=> ( sK3_SY89 @ SY155 @ ( SY152 @ SY155 ) @ ( SY151 @ SY156 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[14]) ).
thf(18,plain,
( ( ~ ! [SY157: a > b,SY158: a > b,SY159: a > b] :
( ( ! [SY160: a,SY161: a] :
( ( sK1_Xp @ SY160 @ SY161 )
=> ( sK3_SY89 @ SY160 @ ( SY157 @ SY160 ) @ ( SY158 @ SY161 ) ) )
& ! [SY162: a,SY163: a] :
( ( sK1_Xp @ SY162 @ SY163 )
=> ( sK3_SY89 @ SY162 @ ( SY158 @ SY162 ) @ ( SY159 @ SY163 ) ) ) )
=> ! [SY164: a,SY165: a] :
( ( sK1_Xp @ SY164 @ SY165 )
=> ( sK3_SY89 @ SY164 @ ( SY157 @ SY164 ) @ ( SY159 @ SY165 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[15]) ).
thf(19,plain,
( ( ( ^ [SY166: a > b,SY167: a > b] :
! [SY168: a,SY169: a] :
( ( sK1_Xp @ SY168 @ SY169 )
=> ( sK3_SY89 @ SY168 @ ( SY166 @ SY168 ) @ ( SY167 @ SY169 ) ) ) )
!= ( ^ [SY211: a > b,SY212: a > b] :
! [SY213: a,SY214: a] :
( ( sK2_SY45 @ SY213 @ SY214 )
=> ( sK4_SY132 @ SY213 @ ( SY211 @ SY213 ) @ ( SY212 @ SY214 ) ) ) ) )
= $true ),
inference(polarity_switch,[status(thm)],[16]) ).
thf(20,plain,
( ( ! [SY220: a,SY221: a] :
( ~ ( sK1_Xp @ SY220 @ SY221 )
| ( sK3_SY89 @ SY220 @ ( sK5_SY151 @ SY220 ) @ ( sK6_SY215 @ SY221 ) ) )
& ( sK1_Xp @ sK7_SY222 @ sK8_SY224 )
& ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[17]) ).
thf(21,plain,
( ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY89 @ SY234 @ ( sK9_SY157 @ SY234 ) @ ( sK10_SY225 @ SY235 ) ) )
& ! [SY242: a,SY243: a] :
( ~ ( sK1_Xp @ SY242 @ SY243 )
| ( sK3_SY89 @ SY242 @ ( sK10_SY225 @ SY242 ) @ ( sK11_SY233 @ SY243 ) ) )
& ( sK1_Xp @ sK12_SY244 @ sK13_SY246 )
& ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[18]) ).
thf(22,plain,
( ( ! [SY48: a,SY49: a] :
( ~ ( sK1_Xp @ SY48 @ SY49 )
| ( sK1_Xp @ SY49 @ SY48 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[8]) ).
thf(23,plain,
( ( ! [SY50: a,SY51: a,SY52: a] :
( ~ ( sK1_Xp @ SY50 @ SY51 )
| ~ ( sK1_Xp @ SY51 @ SY52 )
| ( sK1_Xp @ SY50 @ SY52 ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[9]) ).
thf(24,plain,
( ( ! [SY138: a] :
( ! [SY139: a] :
~ ( sK1_Xp @ SY138 @ SY139 )
| ! [SY140: b,SY141: b] :
( ~ ( sK3_SY89 @ SY138 @ SY140 @ SY141 )
| ( sK3_SY89 @ SY138 @ SY141 @ SY140 ) ) )
& ! [SY138: a] :
( ! [SY139: a] :
~ ( sK1_Xp @ SY138 @ SY139 )
| ! [SY142: b,SY143: b,SY144: b] :
( ~ ( sK3_SY89 @ SY138 @ SY142 @ SY143 )
| ~ ( sK3_SY89 @ SY138 @ SY143 @ SY144 )
| ( sK3_SY89 @ SY138 @ SY142 @ SY144 ) ) )
& ! [SY138: a,SY139: a] :
( ~ ( sK1_Xp @ SY138 @ SY139 )
| ( ( sK3_SY89 @ SY138 )
= ( sK3_SY89 @ SY139 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[11]) ).
thf(25,plain,
( ( ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ! [SY146: b,SY147: b] :
( ~ ( sK3_SY89 @ SY186 @ SY146 @ SY147 )
| ( sK3_SY89 @ SY186 @ SY147 @ SY146 ) ) )
& ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ! [SY148: b,SY149: b,SY150: b] :
( ~ ( sK3_SY89 @ SY186 @ SY148 @ SY149 )
| ~ ( sK3_SY89 @ SY186 @ SY149 @ SY150 )
| ( sK3_SY89 @ SY186 @ SY148 @ SY150 ) ) )
& ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ( ( sK3_SY89 @ SY186 )
= ( sK4_SY132 @ SY186 ) ) ) )
= $true ),
inference(extcnf_combined,[status(esa)],[12]) ).
thf(26,plain,
( ( ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ! [SY146: b,SY147: b] :
( ~ ( sK3_SY89 @ SY186 @ SY146 @ SY147 )
| ( sK3_SY89 @ SY186 @ SY147 @ SY146 ) ) )
& ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ! [SY148: b,SY149: b,SY150: b] :
( ~ ( sK3_SY89 @ SY186 @ SY148 @ SY149 )
| ~ ( sK3_SY89 @ SY186 @ SY149 @ SY150 )
| ( sK3_SY89 @ SY186 @ SY148 @ SY150 ) ) )
& ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ( ( sK3_SY89 @ SY186 )
= ( sK4_SY132 @ SY186 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(27,plain,
( ( ! [SY138: a] :
( ! [SY139: a] :
~ ( sK1_Xp @ SY138 @ SY139 )
| ! [SY140: b,SY141: b] :
( ~ ( sK3_SY89 @ SY138 @ SY140 @ SY141 )
| ( sK3_SY89 @ SY138 @ SY141 @ SY140 ) ) )
& ! [SY138: a] :
( ! [SY139: a] :
~ ( sK1_Xp @ SY138 @ SY139 )
| ! [SY142: b,SY143: b,SY144: b] :
( ~ ( sK3_SY89 @ SY138 @ SY142 @ SY143 )
| ~ ( sK3_SY89 @ SY138 @ SY143 @ SY144 )
| ( sK3_SY89 @ SY138 @ SY142 @ SY144 ) ) )
& ! [SY138: a,SY139: a] :
( ~ ( sK1_Xp @ SY138 @ SY139 )
| ( ( sK3_SY89 @ SY138 )
= ( sK3_SY89 @ SY139 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(28,plain,
( ( sK1_Xp = sK2_SY45 )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(29,plain,
( ( ! [SY50: a,SY51: a,SY52: a] :
( ~ ( sK1_Xp @ SY50 @ SY51 )
| ~ ( sK1_Xp @ SY51 @ SY52 )
| ( sK1_Xp @ SY50 @ SY52 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(30,plain,
( ( ! [SY48: a,SY49: a] :
( ~ ( sK1_Xp @ SY48 @ SY49 )
| ( sK1_Xp @ SY49 @ SY48 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(31,plain,
( ( ! [SY220: a,SY221: a] :
( ~ ( sK1_Xp @ SY220 @ SY221 )
| ( sK3_SY89 @ SY220 @ ( sK5_SY151 @ SY220 ) @ ( sK6_SY215 @ SY221 ) ) )
& ( sK1_Xp @ sK7_SY222 @ sK8_SY224 )
& ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) )
= $true ),
inference(copy,[status(thm)],[20]) ).
thf(32,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK5_SY151 @ SX0 ) @ ( sK6_SY215 @ SX1 ) ) )
| ~ ~ ( ~ ( sK1_Xp @ sK7_SY222 @ sK8_SY224 )
| ~ ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[31]) ).
thf(33,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[26]) ).
thf(34,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[27]) ).
thf(35,plain,
( ( ! [SV1: a] :
( ( sK1_Xp @ SV1 )
= ( sK2_SY45 @ SV1 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[28]) ).
thf(36,plain,
( ( sK1_Xp = sK2_SY45 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[28]) ).
thf(37,plain,
! [SV2: a] :
( ( ! [SY247: a,SY248: a] :
( ~ ( sK1_Xp @ SV2 @ SY247 )
| ~ ( sK1_Xp @ SY247 @ SY248 )
| ( sK1_Xp @ SV2 @ SY248 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[29]) ).
thf(38,plain,
! [SV3: a] :
( ( ! [SY249: a] :
( ~ ( sK1_Xp @ SV3 @ SY249 )
| ( sK1_Xp @ SY249 @ SV3 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[30]) ).
thf(39,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK5_SY151 @ SX0 ) @ ( sK6_SY215 @ SX1 ) ) )
| ~ ~ ( ~ ( sK1_Xp @ sK7_SY222 @ sK8_SY224 )
| ~ ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[32]) ).
thf(40,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[33]) ).
thf(41,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[34]) ).
thf(42,plain,
! [SV4: a] :
( ( ( sK1_Xp @ SV4 )
= ( sK2_SY45 @ SV4 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[35]) ).
thf(43,plain,
! [SV5: a,SV2: a] :
( ( ! [SY250: a] :
( ~ ( sK1_Xp @ SV2 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SY250 )
| ( sK1_Xp @ SV2 @ SY250 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[37]) ).
thf(44,plain,
! [SV6: a,SV3: a] :
( ( ~ ( sK1_Xp @ SV3 @ SV6 )
| ( sK1_Xp @ SV6 @ SV3 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[38]) ).
thf(45,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK5_SY151 @ SX0 ) @ ( sK6_SY215 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(46,plain,
( ( ~ ~ ( ~ ( sK1_Xp @ sK7_SY222 @ sK8_SY224 )
| ~ ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[39]) ).
thf(47,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(48,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[40]) ).
thf(49,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(50,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[41]) ).
thf(51,plain,
! [SV4: a] :
( ( ! [SV7: a] :
( ( sK1_Xp @ SV4 @ SV7 )
= ( sK2_SY45 @ SV4 @ SV7 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[42]) ).
thf(52,plain,
! [SV4: a] :
( ( ( sK1_Xp @ SV4 )
= ( sK2_SY45 @ SV4 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[42]) ).
thf(53,plain,
! [SV8: a,SV5: a,SV2: a] :
( ( ~ ( sK1_Xp @ SV2 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SV8 )
| ( sK1_Xp @ SV2 @ SV8 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[43]) ).
thf(54,plain,
! [SV6: a,SV3: a] :
( ( ( ~ ( sK1_Xp @ SV3 @ SV6 ) )
= $true )
| ( ( sK1_Xp @ SV6 @ SV3 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[44]) ).
thf(55,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK5_SY151 @ SX0 ) @ ( sK6_SY215 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[45]) ).
thf(56,plain,
( ( ~ ( ~ ( sK1_Xp @ sK7_SY222 @ sK8_SY224 )
| ~ ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[46]) ).
thf(57,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[47]) ).
thf(58,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[48]) ).
thf(59,plain,
( ( ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[49]) ).
thf(60,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[50]) ).
thf(61,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= ( sK2_SY45 @ SV4 @ SV9 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[51]) ).
thf(62,plain,
! [SV8: a,SV5: a,SV2: a] :
( ( ( ~ ( sK1_Xp @ SV2 @ SV5 )
| ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[53]) ).
thf(63,plain,
! [SV6: a,SV3: a] :
( ( ( sK1_Xp @ SV3 @ SV6 )
= $false )
| ( ( sK1_Xp @ SV6 @ SV3 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[54]) ).
thf(64,plain,
! [SV10: a] :
( ( ! [SY251: a] :
( ~ ( sK1_Xp @ SV10 @ SY251 )
| ( sK3_SY89 @ SV10 @ ( sK5_SY151 @ SV10 ) @ ( sK6_SY215 @ SY251 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[55]) ).
thf(65,plain,
( ( ~ ( sK1_Xp @ sK7_SY222 @ sK8_SY224 )
| ~ ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[56]) ).
thf(66,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[57]) ).
thf(67,plain,
! [SV11: a] :
( ( ~ ( sK1_Xp @ SV11 @ SV11 )
| ( ( sK3_SY89 @ SV11 )
= ( sK4_SY132 @ SV11 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[58]) ).
thf(68,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[59]) ).
thf(69,plain,
! [SV12: a] :
( ( ! [SY252: a] :
( ~ ( sK1_Xp @ SV12 @ SY252 )
| ( ( sK3_SY89 @ SV12 )
= ( sK3_SY89 @ SY252 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[60]) ).
thf(70,plain,
! [SV9: a,SV4: a] :
( ( ~ ( ( sK1_Xp @ SV4 @ SV9 )
| ( sK2_SY45 @ SV4 @ SV9 ) )
| ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY45 @ SV4 @ SV9 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[61]) ).
thf(71,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= ( sK2_SY45 @ SV4 @ SV9 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[61]) ).
thf(72,plain,
! [SV8: a,SV5: a,SV2: a] :
( ( ( ~ ( sK1_Xp @ SV2 @ SV5 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[62]) ).
thf(73,plain,
! [SV13: a,SV10: a] :
( ( ~ ( sK1_Xp @ SV10 @ SV13 )
| ( sK3_SY89 @ SV10 @ ( sK5_SY151 @ SV10 ) @ ( sK6_SY215 @ SV13 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[64]) ).
thf(74,plain,
( ( ~ ( sK1_Xp @ sK7_SY222 @ sK8_SY224 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(75,plain,
( ( ~ ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[65]) ).
thf(76,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(77,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[66]) ).
thf(78,plain,
! [SV11: a] :
( ( ( ~ ( sK1_Xp @ SV11 @ SV11 ) )
= $true )
| ( ( ( sK3_SY89 @ SV11 )
= ( sK4_SY132 @ SV11 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[67]) ).
thf(79,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(80,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[68]) ).
thf(81,plain,
! [SV14: a,SV12: a] :
( ( ~ ( sK1_Xp @ SV12 @ SV14 )
| ( ( sK3_SY89 @ SV12 )
= ( sK3_SY89 @ SV14 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[69]) ).
thf(82,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( ( sK1_Xp @ SV4 @ SV9 )
| ( sK2_SY45 @ SV4 @ SV9 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY45 @ SV4 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[70]) ).
thf(83,plain,
! [SV8: a,SV5: a,SV2: a] :
( ( ( sK1_Xp @ SV2 @ SV5 )
= $false )
| ( ( ~ ( sK1_Xp @ SV5 @ SV8 ) )
= $true )
| ( ( sK1_Xp @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[72]) ).
thf(84,plain,
! [SV13: a,SV10: a] :
( ( ( ~ ( sK1_Xp @ SV10 @ SV13 ) )
= $true )
| ( ( sK3_SY89 @ SV10 @ ( sK5_SY151 @ SV10 ) @ ( sK6_SY215 @ SV13 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[73]) ).
thf(85,plain,
( ( sK1_Xp @ sK7_SY222 @ sK8_SY224 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[74]) ).
thf(86,plain,
( ( ~ ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[75]) ).
thf(87,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[76]) ).
thf(88,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[77]) ).
thf(89,plain,
! [SV11: a] :
( ( ( sK1_Xp @ SV11 @ SV11 )
= $false )
| ( ( ( sK3_SY89 @ SV11 )
= ( sK4_SY132 @ SV11 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[78]) ).
thf(90,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[79]) ).
thf(91,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[80]) ).
thf(92,plain,
! [SV14: a,SV12: a] :
( ( ( ~ ( sK1_Xp @ SV12 @ SV14 ) )
= $true )
| ( ( ( sK3_SY89 @ SV12 )
= ( sK3_SY89 @ SV14 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[81]) ).
thf(93,plain,
! [SV9: a,SV4: a] :
( ( ( ( sK1_Xp @ SV4 @ SV9 )
| ( sK2_SY45 @ SV4 @ SV9 ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY45 @ SV4 @ SV9 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[82]) ).
thf(94,plain,
! [SV2: a,SV8: a,SV5: a] :
( ( ( sK1_Xp @ SV5 @ SV8 )
= $false )
| ( ( sK1_Xp @ SV2 @ SV5 )
= $false )
| ( ( sK1_Xp @ SV2 @ SV8 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[83]) ).
thf(95,plain,
! [SV13: a,SV10: a] :
( ( ( sK1_Xp @ SV10 @ SV13 )
= $false )
| ( ( sK3_SY89 @ SV10 @ ( sK5_SY151 @ SV10 ) @ ( sK6_SY215 @ SV13 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[84]) ).
thf(96,plain,
( ( sK3_SY89 @ sK7_SY222 @ ( sK6_SY215 @ sK7_SY222 ) @ ( sK5_SY151 @ sK8_SY224 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[86]) ).
thf(97,plain,
! [SV15: a] :
( ( ~ ( sK1_Xp @ SV15 @ SV15 )
| ! [SY253: b,SY254: b] :
( ~ ( sK3_SY89 @ SV15 @ SY253 @ SY254 )
| ( sK3_SY89 @ SV15 @ SY254 @ SY253 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[87]) ).
thf(98,plain,
! [SV16: a] :
( ( ~ ( sK1_Xp @ SV16 @ SV16 )
| ! [SY255: b,SY256: b,SY257: b] :
( ~ ( sK3_SY89 @ SV16 @ SY255 @ SY256 )
| ~ ( sK3_SY89 @ SV16 @ SY256 @ SY257 )
| ( sK3_SY89 @ SV16 @ SY255 @ SY257 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[88]) ).
thf(99,plain,
! [SV11: a] :
( ( ( ! [SV17: b] :
( ( sK3_SY89 @ SV11 @ SV17 )
= ( sK4_SY132 @ SV11 @ SV17 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(100,plain,
! [SV11: a] :
( ( ( ( sK3_SY89 @ SV11 )
= ( sK4_SY132 @ SV11 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[89]) ).
thf(101,plain,
! [SV18: a] :
( ( ! [SY258: a] :
~ ( sK1_Xp @ SV18 @ SY258 )
| ! [SY259: b,SY260: b] :
( ~ ( sK3_SY89 @ SV18 @ SY259 @ SY260 )
| ( sK3_SY89 @ SV18 @ SY260 @ SY259 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[90]) ).
thf(102,plain,
! [SV19: a] :
( ( ! [SY261: a] :
~ ( sK1_Xp @ SV19 @ SY261 )
| ! [SY262: b,SY263: b,SY264: b] :
( ~ ( sK3_SY89 @ SV19 @ SY262 @ SY263 )
| ~ ( sK3_SY89 @ SV19 @ SY263 @ SY264 )
| ( sK3_SY89 @ SV19 @ SY262 @ SY264 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[91]) ).
thf(103,plain,
! [SV14: a,SV12: a] :
( ( ( sK1_Xp @ SV12 @ SV14 )
= $false )
| ( ( ( sK3_SY89 @ SV12 )
= ( sK3_SY89 @ SV14 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[92]) ).
thf(104,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY45 @ SV4 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(105,plain,
! [SV9: a,SV4: a] :
( ( ( sK2_SY45 @ SV4 @ SV9 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY45 @ SV4 @ SV9 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[93]) ).
thf(106,plain,
! [SV15: a] :
( ( ( ~ ( sK1_Xp @ SV15 @ SV15 ) )
= $true )
| ( ( ! [SY253: b,SY254: b] :
( ~ ( sK3_SY89 @ SV15 @ SY253 @ SY254 )
| ( sK3_SY89 @ SV15 @ SY254 @ SY253 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[97]) ).
thf(107,plain,
! [SV16: a] :
( ( ( ~ ( sK1_Xp @ SV16 @ SV16 ) )
= $true )
| ( ( ! [SY255: b,SY256: b,SY257: b] :
( ~ ( sK3_SY89 @ SV16 @ SY255 @ SY256 )
| ~ ( sK3_SY89 @ SV16 @ SY256 @ SY257 )
| ( sK3_SY89 @ SV16 @ SY255 @ SY257 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[98]) ).
thf(108,plain,
! [SV20: b,SV11: a] :
( ( ( ( sK3_SY89 @ SV11 @ SV20 )
= ( sK4_SY132 @ SV11 @ SV20 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[99]) ).
thf(109,plain,
! [SV18: a] :
( ( ( ! [SY258: a] :
~ ( sK1_Xp @ SV18 @ SY258 ) )
= $true )
| ( ( ! [SY259: b,SY260: b] :
( ~ ( sK3_SY89 @ SV18 @ SY259 @ SY260 )
| ( sK3_SY89 @ SV18 @ SY260 @ SY259 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[101]) ).
thf(110,plain,
! [SV19: a] :
( ( ( ! [SY261: a] :
~ ( sK1_Xp @ SV19 @ SY261 ) )
= $true )
| ( ( ! [SY262: b,SY263: b,SY264: b] :
( ~ ( sK3_SY89 @ SV19 @ SY262 @ SY263 )
| ~ ( sK3_SY89 @ SV19 @ SY263 @ SY264 )
| ( sK3_SY89 @ SV19 @ SY262 @ SY264 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[102]) ).
thf(111,plain,
! [SV14: a,SV12: a] :
( ( ( ! [SV21: b] :
( ( sK3_SY89 @ SV12 @ SV21 )
= ( sK3_SY89 @ SV14 @ SV21 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[103]) ).
thf(112,plain,
! [SV14: a,SV12: a] :
( ( ( ( sK3_SY89 @ SV12 )
= ( sK3_SY89 @ SV14 ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[103]) ).
thf(113,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY45 @ SV4 @ SV9 ) )
= $false )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[104]) ).
thf(114,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV9 )
| ~ ( sK2_SY45 @ SV4 @ SV9 ) )
= $false )
| ( ( sK2_SY45 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[105]) ).
thf(115,plain,
! [SV15: a] :
( ( ( sK1_Xp @ SV15 @ SV15 )
= $false )
| ( ( ! [SY253: b,SY254: b] :
( ~ ( sK3_SY89 @ SV15 @ SY253 @ SY254 )
| ( sK3_SY89 @ SV15 @ SY254 @ SY253 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[106]) ).
thf(116,plain,
! [SV16: a] :
( ( ( sK1_Xp @ SV16 @ SV16 )
= $false )
| ( ( ! [SY255: b,SY256: b,SY257: b] :
( ~ ( sK3_SY89 @ SV16 @ SY255 @ SY256 )
| ~ ( sK3_SY89 @ SV16 @ SY256 @ SY257 )
| ( sK3_SY89 @ SV16 @ SY255 @ SY257 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[107]) ).
thf(117,plain,
! [SV20: b,SV11: a] :
( ( ( ! [SV22: b] :
( ( sK3_SY89 @ SV11 @ SV20 @ SV22 )
= ( sK4_SY132 @ SV11 @ SV20 @ SV22 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[108]) ).
thf(118,plain,
! [SV20: b,SV11: a] :
( ( ( ( sK3_SY89 @ SV11 @ SV20 )
= ( sK4_SY132 @ SV11 @ SV20 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[108]) ).
thf(119,plain,
! [SV23: a,SV18: a] :
( ( ( ~ ( sK1_Xp @ SV18 @ SV23 ) )
= $true )
| ( ( ! [SY259: b,SY260: b] :
( ~ ( sK3_SY89 @ SV18 @ SY259 @ SY260 )
| ( sK3_SY89 @ SV18 @ SY260 @ SY259 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[109]) ).
thf(120,plain,
! [SV24: a,SV19: a] :
( ( ( ~ ( sK1_Xp @ SV19 @ SV24 ) )
= $true )
| ( ( ! [SY262: b,SY263: b,SY264: b] :
( ~ ( sK3_SY89 @ SV19 @ SY262 @ SY263 )
| ~ ( sK3_SY89 @ SV19 @ SY263 @ SY264 )
| ( sK3_SY89 @ SV19 @ SY262 @ SY264 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[110]) ).
thf(121,plain,
! [SV14: a,SV25: b,SV12: a] :
( ( ( ( sK3_SY89 @ SV12 @ SV25 )
= ( sK3_SY89 @ SV14 @ SV25 ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[111]) ).
thf(122,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV9 ) )
= $false )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(123,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK2_SY45 @ SV4 @ SV9 ) )
= $false )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[113]) ).
thf(124,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK1_Xp @ SV4 @ SV9 ) )
= $false )
| ( ( sK2_SY45 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(125,plain,
! [SV9: a,SV4: a] :
( ( ( ~ ( sK2_SY45 @ SV4 @ SV9 ) )
= $false )
| ( ( sK2_SY45 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[114]) ).
thf(126,plain,
! [SV26: b,SV15: a] :
( ( ( ! [SY265: b] :
( ~ ( sK3_SY89 @ SV15 @ SV26 @ SY265 )
| ( sK3_SY89 @ SV15 @ SY265 @ SV26 ) ) )
= $true )
| ( ( sK1_Xp @ SV15 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[115]) ).
thf(127,plain,
! [SV27: b,SV16: a] :
( ( ( ! [SY266: b,SY267: b] :
( ~ ( sK3_SY89 @ SV16 @ SV27 @ SY266 )
| ~ ( sK3_SY89 @ SV16 @ SY266 @ SY267 )
| ( sK3_SY89 @ SV16 @ SV27 @ SY267 ) ) )
= $true )
| ( ( sK1_Xp @ SV16 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[116]) ).
thf(128,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[117]) ).
thf(129,plain,
! [SV23: a,SV18: a] :
( ( ( sK1_Xp @ SV18 @ SV23 )
= $false )
| ( ( ! [SY259: b,SY260: b] :
( ~ ( sK3_SY89 @ SV18 @ SY259 @ SY260 )
| ( sK3_SY89 @ SV18 @ SY260 @ SY259 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[119]) ).
thf(130,plain,
! [SV24: a,SV19: a] :
( ( ( sK1_Xp @ SV19 @ SV24 )
= $false )
| ( ( ! [SY262: b,SY263: b,SY264: b] :
( ~ ( sK3_SY89 @ SV19 @ SY262 @ SY263 )
| ~ ( sK3_SY89 @ SV19 @ SY263 @ SY264 )
| ( sK3_SY89 @ SV19 @ SY262 @ SY264 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[120]) ).
thf(131,plain,
! [SV14: a,SV25: b,SV12: a] :
( ( ( ! [SV29: b] :
( ( sK3_SY89 @ SV12 @ SV25 @ SV29 )
= ( sK3_SY89 @ SV14 @ SV25 @ SV29 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[121]) ).
thf(132,plain,
! [SV14: a,SV25: b,SV12: a] :
( ( ( ( sK3_SY89 @ SV12 @ SV25 )
= ( sK3_SY89 @ SV14 @ SV25 ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[121]) ).
thf(133,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= $true )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[122]) ).
thf(134,plain,
! [SV9: a,SV4: a] :
( ( ( sK2_SY45 @ SV4 @ SV9 )
= $true )
| ( ( sK1_Xp @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[123]) ).
thf(135,plain,
! [SV9: a,SV4: a] :
( ( ( sK1_Xp @ SV4 @ SV9 )
= $true )
| ( ( sK2_SY45 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[124]) ).
thf(136,plain,
! [SV9: a,SV4: a] :
( ( ( sK2_SY45 @ SV4 @ SV9 )
= $true )
| ( ( sK2_SY45 @ SV4 @ SV9 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[125]) ).
thf(137,plain,
! [SV30: b,SV26: b,SV15: a] :
( ( ( ~ ( sK3_SY89 @ SV15 @ SV26 @ SV30 )
| ( sK3_SY89 @ SV15 @ SV30 @ SV26 ) )
= $true )
| ( ( sK1_Xp @ SV15 @ SV15 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[126]) ).
thf(138,plain,
! [SV31: b,SV27: b,SV16: a] :
( ( ( ! [SY268: b] :
( ~ ( sK3_SY89 @ SV16 @ SV27 @ SV31 )
| ~ ( sK3_SY89 @ SV16 @ SV31 @ SY268 )
| ( sK3_SY89 @ SV16 @ SV27 @ SY268 ) ) )
= $true )
| ( ( sK1_Xp @ SV16 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[127]) ).
thf(139,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ~ ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) )
| ~ ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[128]) ).
thf(140,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[128]) ).
thf(141,plain,
! [SV23: a,SV32: b,SV18: a] :
( ( ( ! [SY269: b] :
( ~ ( sK3_SY89 @ SV18 @ SV32 @ SY269 )
| ( sK3_SY89 @ SV18 @ SY269 @ SV32 ) ) )
= $true )
| ( ( sK1_Xp @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[129]) ).
thf(142,plain,
! [SV24: a,SV33: b,SV19: a] :
( ( ( ! [SY270: b,SY271: b] :
( ~ ( sK3_SY89 @ SV19 @ SV33 @ SY270 )
| ~ ( sK3_SY89 @ SV19 @ SY270 @ SY271 )
| ( sK3_SY89 @ SV19 @ SV33 @ SY271 ) ) )
= $true )
| ( ( sK1_Xp @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[130]) ).
thf(143,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[131]) ).
thf(144,plain,
! [SV30: b,SV26: b,SV15: a] :
( ( ( ~ ( sK3_SY89 @ SV15 @ SV26 @ SV30 ) )
= $true )
| ( ( sK3_SY89 @ SV15 @ SV30 @ SV26 )
= $true )
| ( ( sK1_Xp @ SV15 @ SV15 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[137]) ).
thf(145,plain,
! [SV35: b,SV31: b,SV27: b,SV16: a] :
( ( ( ~ ( sK3_SY89 @ SV16 @ SV27 @ SV31 )
| ~ ( sK3_SY89 @ SV16 @ SV31 @ SV35 )
| ( sK3_SY89 @ SV16 @ SV27 @ SV35 ) )
= $true )
| ( ( sK1_Xp @ SV16 @ SV16 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[138]) ).
thf(146,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ~ ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[139]) ).
thf(147,plain,
! [SV23: a,SV36: b,SV32: b,SV18: a] :
( ( ( ~ ( sK3_SY89 @ SV18 @ SV32 @ SV36 )
| ( sK3_SY89 @ SV18 @ SV36 @ SV32 ) )
= $true )
| ( ( sK1_Xp @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[141]) ).
thf(148,plain,
! [SV24: a,SV37: b,SV33: b,SV19: a] :
( ( ( ! [SY272: b] :
( ~ ( sK3_SY89 @ SV19 @ SV33 @ SV37 )
| ~ ( sK3_SY89 @ SV19 @ SV37 @ SY272 )
| ( sK3_SY89 @ SV19 @ SV33 @ SY272 ) ) )
= $true )
| ( ( sK1_Xp @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[142]) ).
thf(149,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ~ ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) )
| ~ ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[143]) ).
thf(150,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[143]) ).
thf(151,plain,
! [SV30: b,SV26: b,SV15: a] :
( ( ( sK3_SY89 @ SV15 @ SV26 @ SV30 )
= $false )
| ( ( sK3_SY89 @ SV15 @ SV30 @ SV26 )
= $true )
| ( ( sK1_Xp @ SV15 @ SV15 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[144]) ).
thf(152,plain,
! [SV35: b,SV31: b,SV27: b,SV16: a] :
( ( ( ~ ( sK3_SY89 @ SV16 @ SV27 @ SV31 )
| ~ ( sK3_SY89 @ SV16 @ SV31 @ SV35 ) )
= $true )
| ( ( sK3_SY89 @ SV16 @ SV27 @ SV35 )
= $true )
| ( ( sK1_Xp @ SV16 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[145]) ).
thf(153,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[146]) ).
thf(154,plain,
! [SV23: a,SV36: b,SV32: b,SV18: a] :
( ( ( ~ ( sK3_SY89 @ SV18 @ SV32 @ SV36 ) )
= $true )
| ( ( sK3_SY89 @ SV18 @ SV36 @ SV32 )
= $true )
| ( ( sK1_Xp @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[147]) ).
thf(155,plain,
! [SV24: a,SV38: b,SV37: b,SV33: b,SV19: a] :
( ( ( ~ ( sK3_SY89 @ SV19 @ SV33 @ SV37 )
| ~ ( sK3_SY89 @ SV19 @ SV37 @ SV38 )
| ( sK3_SY89 @ SV19 @ SV33 @ SV38 ) )
= $true )
| ( ( sK1_Xp @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[148]) ).
thf(156,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ~ ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[149]) ).
thf(157,plain,
! [SV35: b,SV31: b,SV27: b,SV16: a] :
( ( ( ~ ( sK3_SY89 @ SV16 @ SV27 @ SV31 ) )
= $true )
| ( ( ~ ( sK3_SY89 @ SV16 @ SV31 @ SV35 ) )
= $true )
| ( ( sK3_SY89 @ SV16 @ SV27 @ SV35 )
= $true )
| ( ( sK1_Xp @ SV16 @ SV16 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[152]) ).
thf(158,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(159,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( sK4_SY132 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) ) )
= $true )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[153]) ).
thf(160,plain,
! [SV23: a,SV36: b,SV32: b,SV18: a] :
( ( ( sK3_SY89 @ SV18 @ SV32 @ SV36 )
= $false )
| ( ( sK3_SY89 @ SV18 @ SV36 @ SV32 )
= $true )
| ( ( sK1_Xp @ SV18 @ SV23 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[154]) ).
thf(161,plain,
! [SV24: a,SV38: b,SV37: b,SV33: b,SV19: a] :
( ( ( ~ ( sK3_SY89 @ SV19 @ SV33 @ SV37 )
| ~ ( sK3_SY89 @ SV19 @ SV37 @ SV38 ) )
= $true )
| ( ( sK3_SY89 @ SV19 @ SV33 @ SV38 )
= $true )
| ( ( sK1_Xp @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[155]) ).
thf(162,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[156]) ).
thf(163,plain,
! [SV35: b,SV31: b,SV27: b,SV16: a] :
( ( ( sK3_SY89 @ SV16 @ SV27 @ SV31 )
= $false )
| ( ( ~ ( sK3_SY89 @ SV16 @ SV31 @ SV35 ) )
= $true )
| ( ( sK3_SY89 @ SV16 @ SV27 @ SV35 )
= $true )
| ( ( sK1_Xp @ SV16 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[157]) ).
thf(164,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) )
= $false )
| ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[158]) ).
thf(165,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
| ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) )
= $false )
| ( ( sK4_SY132 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[159]) ).
thf(166,plain,
! [SV24: a,SV38: b,SV37: b,SV33: b,SV19: a] :
( ( ( ~ ( sK3_SY89 @ SV19 @ SV33 @ SV37 ) )
= $true )
| ( ( ~ ( sK3_SY89 @ SV19 @ SV37 @ SV38 ) )
= $true )
| ( ( sK3_SY89 @ SV19 @ SV33 @ SV38 )
= $true )
| ( ( sK1_Xp @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[161]) ).
thf(167,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(168,plain,
! [SV12: a,SV34: b,SV25: b,SV14: a] :
( ( ( sK3_SY89 @ SV14 @ SV25 @ SV34 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) ) )
= $true )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[162]) ).
thf(169,plain,
! [SV27: b,SV35: b,SV31: b,SV16: a] :
( ( ( sK3_SY89 @ SV16 @ SV31 @ SV35 )
= $false )
| ( ( sK3_SY89 @ SV16 @ SV27 @ SV31 )
= $false )
| ( ( sK3_SY89 @ SV16 @ SV27 @ SV35 )
= $true )
| ( ( sK1_Xp @ SV16 @ SV16 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[163]) ).
thf(170,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 ) )
= $false )
| ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(171,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) )
= $false )
| ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[164]) ).
thf(172,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ~ ( sK3_SY89 @ SV11 @ SV20 @ SV28 ) )
= $false )
| ( ( sK4_SY132 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(173,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( ~ ( sK4_SY132 @ SV11 @ SV20 @ SV28 ) )
= $false )
| ( ( sK4_SY132 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[165]) ).
thf(174,plain,
! [SV24: a,SV38: b,SV37: b,SV33: b,SV19: a] :
( ( ( sK3_SY89 @ SV19 @ SV33 @ SV37 )
= $false )
| ( ( ~ ( sK3_SY89 @ SV19 @ SV37 @ SV38 ) )
= $true )
| ( ( sK3_SY89 @ SV19 @ SV33 @ SV38 )
= $true )
| ( ( sK1_Xp @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[166]) ).
thf(175,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) )
= $false )
| ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[167]) ).
thf(176,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
| ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) )
= $false )
| ( ( sK3_SY89 @ SV14 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[168]) ).
thf(177,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= $true )
| ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[170]) ).
thf(178,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( sK4_SY132 @ SV11 @ SV20 @ SV28 )
= $true )
| ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[171]) ).
thf(179,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( sK3_SY89 @ SV11 @ SV20 @ SV28 )
= $true )
| ( ( sK4_SY132 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[172]) ).
thf(180,plain,
! [SV28: b,SV20: b,SV11: a] :
( ( ( sK4_SY132 @ SV11 @ SV20 @ SV28 )
= $true )
| ( ( sK4_SY132 @ SV11 @ SV20 @ SV28 )
= $false )
| ( ( sK1_Xp @ SV11 @ SV11 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[173]) ).
thf(181,plain,
! [SV24: a,SV33: b,SV38: b,SV37: b,SV19: a] :
( ( ( sK3_SY89 @ SV19 @ SV37 @ SV38 )
= $false )
| ( ( sK3_SY89 @ SV19 @ SV33 @ SV37 )
= $false )
| ( ( sK3_SY89 @ SV19 @ SV33 @ SV38 )
= $true )
| ( ( sK1_Xp @ SV19 @ SV24 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[174]) ).
thf(182,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 ) )
= $false )
| ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(183,plain,
! [SV12: a,SV34: b,SV25: b,SV14: a] :
( ( ( ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) )
= $false )
| ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[175]) ).
thf(184,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( ~ ( sK3_SY89 @ SV12 @ SV25 @ SV34 ) )
= $false )
| ( ( sK3_SY89 @ SV14 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(185,plain,
! [SV12: a,SV34: b,SV25: b,SV14: a] :
( ( ( ~ ( sK3_SY89 @ SV14 @ SV25 @ SV34 ) )
= $false )
| ( ( sK3_SY89 @ SV14 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[176]) ).
thf(186,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= $true )
| ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[182]) ).
thf(187,plain,
! [SV12: a,SV34: b,SV25: b,SV14: a] :
( ( ( sK3_SY89 @ SV14 @ SV25 @ SV34 )
= $true )
| ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[183]) ).
thf(188,plain,
! [SV14: a,SV34: b,SV25: b,SV12: a] :
( ( ( sK3_SY89 @ SV12 @ SV25 @ SV34 )
= $true )
| ( ( sK3_SY89 @ SV14 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[184]) ).
thf(189,plain,
! [SV12: a,SV34: b,SV25: b,SV14: a] :
( ( ( sK3_SY89 @ SV14 @ SV25 @ SV34 )
= $true )
| ( ( sK3_SY89 @ SV14 @ SV25 @ SV34 )
= $false )
| ( ( sK1_Xp @ SV12 @ SV14 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[185]) ).
thf(190,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[36,189,188,187,186,181,180,179,178,177,169,160,151,150,140,136,135,134,133,132,118,112,100,96,95,94,85,71,63,52]) ).
thf(191,plain,
( ( ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ! [SY146: b,SY147: b] :
( ~ ( sK3_SY89 @ SY186 @ SY146 @ SY147 )
| ( sK3_SY89 @ SY186 @ SY147 @ SY146 ) ) )
& ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ! [SY148: b,SY149: b,SY150: b] :
( ~ ( sK3_SY89 @ SY186 @ SY148 @ SY149 )
| ~ ( sK3_SY89 @ SY186 @ SY149 @ SY150 )
| ( sK3_SY89 @ SY186 @ SY148 @ SY150 ) ) )
& ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ( ( sK3_SY89 @ SY186 )
= ( sK4_SY132 @ SY186 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(192,plain,
( ( ! [SY138: a] :
( ! [SY139: a] :
~ ( sK1_Xp @ SY138 @ SY139 )
| ! [SY140: b,SY141: b] :
( ~ ( sK3_SY89 @ SY138 @ SY140 @ SY141 )
| ( sK3_SY89 @ SY138 @ SY141 @ SY140 ) ) )
& ! [SY138: a] :
( ! [SY139: a] :
~ ( sK1_Xp @ SY138 @ SY139 )
| ! [SY142: b,SY143: b,SY144: b] :
( ~ ( sK3_SY89 @ SY138 @ SY142 @ SY143 )
| ~ ( sK3_SY89 @ SY138 @ SY143 @ SY144 )
| ( sK3_SY89 @ SY138 @ SY142 @ SY144 ) ) )
& ! [SY138: a,SY139: a] :
( ~ ( sK1_Xp @ SY138 @ SY139 )
| ( ( sK3_SY89 @ SY138 )
= ( sK3_SY89 @ SY139 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(193,plain,
( ( sK1_Xp = sK2_SY45 )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(194,plain,
( ( ! [SY50: a,SY51: a,SY52: a] :
( ~ ( sK1_Xp @ SY50 @ SY51 )
| ~ ( sK1_Xp @ SY51 @ SY52 )
| ( sK1_Xp @ SY50 @ SY52 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(195,plain,
( ( ! [SY48: a,SY49: a] :
( ~ ( sK1_Xp @ SY48 @ SY49 )
| ( sK1_Xp @ SY49 @ SY48 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(196,plain,
( ( ! [SY234: a,SY235: a] :
( ~ ( sK1_Xp @ SY234 @ SY235 )
| ( sK3_SY89 @ SY234 @ ( sK9_SY157 @ SY234 ) @ ( sK10_SY225 @ SY235 ) ) )
& ! [SY242: a,SY243: a] :
( ~ ( sK1_Xp @ SY242 @ SY243 )
| ( sK3_SY89 @ SY242 @ ( sK10_SY225 @ SY242 ) @ ( sK11_SY233 @ SY243 ) ) )
& ( sK1_Xp @ sK12_SY244 @ sK13_SY246 )
& ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) )
= $true ),
inference(copy,[status(thm)],[21]) ).
thf(197,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[191]) ).
thf(198,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK9_SY157 @ SX0 ) @ ( sK10_SY225 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK10_SY225 @ SX0 ) @ ( sK11_SY233 @ SX1 ) ) ) )
| ~ ~ ( ~ ( sK1_Xp @ sK12_SY244 @ sK13_SY246 )
| ~ ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[196]) ).
thf(199,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[192]) ).
thf(200,plain,
( ( ! [SV39: a] :
( ( sK1_Xp @ SV39 )
= ( sK2_SY45 @ SV39 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[193]) ).
thf(201,plain,
( ( sK1_Xp = sK2_SY45 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[193]) ).
thf(202,plain,
! [SV40: a] :
( ( ! [SY273: a,SY274: a] :
( ~ ( sK1_Xp @ SV40 @ SY273 )
| ~ ( sK1_Xp @ SY273 @ SY274 )
| ( sK1_Xp @ SV40 @ SY274 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[194]) ).
thf(203,plain,
! [SV41: a] :
( ( ! [SY275: a] :
( ~ ( sK1_Xp @ SV41 @ SY275 )
| ( sK1_Xp @ SY275 @ SV41 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[195]) ).
thf(204,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[197]) ).
thf(205,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK9_SY157 @ SX0 ) @ ( sK10_SY225 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK10_SY225 @ SX0 ) @ ( sK11_SY233 @ SX1 ) ) ) )
| ~ ~ ( ~ ( sK1_Xp @ sK12_SY244 @ sK13_SY246 )
| ~ ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[198]) ).
thf(206,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[199]) ).
thf(207,plain,
! [SV42: a] :
( ( ( sK1_Xp @ SV42 )
= ( sK2_SY45 @ SV42 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[200]) ).
thf(208,plain,
! [SV43: a,SV40: a] :
( ( ! [SY276: a] :
( ~ ( sK1_Xp @ SV40 @ SV43 )
| ~ ( sK1_Xp @ SV43 @ SY276 )
| ( sK1_Xp @ SV40 @ SY276 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[202]) ).
thf(209,plain,
! [SV44: a,SV41: a] :
( ( ~ ( sK1_Xp @ SV41 @ SV44 )
| ( sK1_Xp @ SV44 @ SV41 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[203]) ).
thf(210,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(211,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[204]) ).
thf(212,plain,
( ( ~ ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK9_SY157 @ SX0 ) @ ( sK10_SY225 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK10_SY225 @ SX0 ) @ ( sK11_SY233 @ SX1 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(213,plain,
( ( ~ ~ ( ~ ( sK1_Xp @ sK12_SY244 @ sK13_SY246 )
| ~ ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[205]) ).
thf(214,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(215,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[206]) ).
thf(216,plain,
! [SV42: a] :
( ( ! [SV45: a] :
( ( sK1_Xp @ SV42 @ SV45 )
= ( sK2_SY45 @ SV42 @ SV45 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[207]) ).
thf(217,plain,
! [SV42: a] :
( ( ( sK1_Xp @ SV42 )
= ( sK2_SY45 @ SV42 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[207]) ).
thf(218,plain,
! [SV46: a,SV43: a,SV40: a] :
( ( ~ ( sK1_Xp @ SV40 @ SV43 )
| ~ ( sK1_Xp @ SV43 @ SV46 )
| ( sK1_Xp @ SV40 @ SV46 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[208]) ).
thf(219,plain,
! [SV44: a,SV41: a] :
( ( ( ~ ( sK1_Xp @ SV41 @ SV44 ) )
= $true )
| ( ( sK1_Xp @ SV44 @ SV41 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[209]) ).
thf(220,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[210]) ).
thf(221,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[211]) ).
thf(222,plain,
( ( ~ ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK9_SY157 @ SX0 ) @ ( sK10_SY225 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK10_SY225 @ SX0 ) @ ( sK11_SY233 @ SX1 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[212]) ).
thf(223,plain,
( ( ~ ( ~ ( sK1_Xp @ sK12_SY244 @ sK13_SY246 )
| ~ ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[213]) ).
thf(224,plain,
( ( ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[214]) ).
thf(225,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[215]) ).
thf(226,plain,
! [SV47: a,SV42: a] :
( ( ( sK1_Xp @ SV42 @ SV47 )
= ( sK2_SY45 @ SV42 @ SV47 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[216]) ).
thf(227,plain,
! [SV46: a,SV43: a,SV40: a] :
( ( ( ~ ( sK1_Xp @ SV40 @ SV43 )
| ~ ( sK1_Xp @ SV43 @ SV46 ) )
= $true )
| ( ( sK1_Xp @ SV40 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[218]) ).
thf(228,plain,
! [SV44: a,SV41: a] :
( ( ( sK1_Xp @ SV41 @ SV44 )
= $false )
| ( ( sK1_Xp @ SV44 @ SV41 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[219]) ).
thf(229,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[220]) ).
thf(230,plain,
! [SV48: a] :
( ( ~ ( sK1_Xp @ SV48 @ SV48 )
| ( ( sK3_SY89 @ SV48 )
= ( sK4_SY132 @ SV48 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[221]) ).
thf(231,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK9_SY157 @ SX0 ) @ ( sK10_SY225 @ SX1 ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK10_SY225 @ SX0 ) @ ( sK11_SY233 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[222]) ).
thf(232,plain,
( ( ~ ( sK1_Xp @ sK12_SY244 @ sK13_SY246 )
| ~ ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[223]) ).
thf(233,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[224]) ).
thf(234,plain,
! [SV49: a] :
( ( ! [SY277: a] :
( ~ ( sK1_Xp @ SV49 @ SY277 )
| ( ( sK3_SY89 @ SV49 )
= ( sK3_SY89 @ SY277 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[225]) ).
thf(235,plain,
! [SV47: a,SV42: a] :
( ( ~ ( ( sK1_Xp @ SV42 @ SV47 )
| ( sK2_SY45 @ SV42 @ SV47 ) )
| ~ ( ~ ( sK1_Xp @ SV42 @ SV47 )
| ~ ( sK2_SY45 @ SV42 @ SV47 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[226]) ).
thf(236,plain,
! [SV47: a,SV42: a] :
( ( ( sK1_Xp @ SV42 @ SV47 )
= ( sK2_SY45 @ SV42 @ SV47 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[226]) ).
thf(237,plain,
! [SV46: a,SV43: a,SV40: a] :
( ( ( ~ ( sK1_Xp @ SV40 @ SV43 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV43 @ SV46 ) )
= $true )
| ( ( sK1_Xp @ SV40 @ SV46 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[227]) ).
thf(238,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(239,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[229]) ).
thf(240,plain,
! [SV48: a] :
( ( ( ~ ( sK1_Xp @ SV48 @ SV48 ) )
= $true )
| ( ( ( sK3_SY89 @ SV48 )
= ( sK4_SY132 @ SV48 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[230]) ).
thf(241,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK9_SY157 @ SX0 ) @ ( sK10_SY225 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(242,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK10_SY225 @ SX0 ) @ ( sK11_SY233 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[231]) ).
thf(243,plain,
( ( ~ ( sK1_Xp @ sK12_SY244 @ sK13_SY246 ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(244,plain,
( ( ~ ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[232]) ).
thf(245,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(246,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[233]) ).
thf(247,plain,
! [SV50: a,SV49: a] :
( ( ~ ( sK1_Xp @ SV49 @ SV50 )
| ( ( sK3_SY89 @ SV49 )
= ( sK3_SY89 @ SV50 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[234]) ).
thf(248,plain,
! [SV47: a,SV42: a] :
( ( ( ~ ( ( sK1_Xp @ SV42 @ SV47 )
| ( sK2_SY45 @ SV42 @ SV47 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xp @ SV42 @ SV47 )
| ~ ( sK2_SY45 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[235]) ).
thf(249,plain,
! [SV46: a,SV43: a,SV40: a] :
( ( ( sK1_Xp @ SV40 @ SV43 )
= $false )
| ( ( ~ ( sK1_Xp @ SV43 @ SV46 ) )
= $true )
| ( ( sK1_Xp @ SV40 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[237]) ).
thf(250,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[238]) ).
thf(251,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[239]) ).
thf(252,plain,
! [SV48: a] :
( ( ( sK1_Xp @ SV48 @ SV48 )
= $false )
| ( ( ( sK3_SY89 @ SV48 )
= ( sK4_SY132 @ SV48 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[240]) ).
thf(253,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK9_SY157 @ SX0 ) @ ( sK10_SY225 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[241]) ).
thf(254,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( sK3_SY89 @ SX0 @ ( sK10_SY225 @ SX0 ) @ ( sK11_SY233 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[242]) ).
thf(255,plain,
( ( sK1_Xp @ sK12_SY244 @ sK13_SY246 )
= $true ),
inference(extcnf_not_neg,[status(thm)],[243]) ).
thf(256,plain,
( ( ~ ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[244]) ).
thf(257,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[245]) ).
thf(258,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[246]) ).
thf(259,plain,
! [SV50: a,SV49: a] :
( ( ( ~ ( sK1_Xp @ SV49 @ SV50 ) )
= $true )
| ( ( ( sK3_SY89 @ SV49 )
= ( sK3_SY89 @ SV50 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[247]) ).
thf(260,plain,
! [SV47: a,SV42: a] :
( ( ( ( sK1_Xp @ SV42 @ SV47 )
| ( sK2_SY45 @ SV42 @ SV47 ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV42 @ SV47 )
| ~ ( sK2_SY45 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[248]) ).
thf(261,plain,
! [SV40: a,SV46: a,SV43: a] :
( ( ( sK1_Xp @ SV43 @ SV46 )
= $false )
| ( ( sK1_Xp @ SV40 @ SV43 )
= $false )
| ( ( sK1_Xp @ SV40 @ SV46 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[249]) ).
thf(262,plain,
! [SV51: a] :
( ( ~ ( sK1_Xp @ SV51 @ SV51 )
| ! [SY278: b,SY279: b] :
( ~ ( sK3_SY89 @ SV51 @ SY278 @ SY279 )
| ( sK3_SY89 @ SV51 @ SY279 @ SY278 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[250]) ).
thf(263,plain,
! [SV52: a] :
( ( ~ ( sK1_Xp @ SV52 @ SV52 )
| ! [SY280: b,SY281: b,SY282: b] :
( ~ ( sK3_SY89 @ SV52 @ SY280 @ SY281 )
| ~ ( sK3_SY89 @ SV52 @ SY281 @ SY282 )
| ( sK3_SY89 @ SV52 @ SY280 @ SY282 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[251]) ).
thf(264,plain,
! [SV48: a] :
( ( ( ! [SV53: b] :
( ( sK3_SY89 @ SV48 @ SV53 )
= ( sK4_SY132 @ SV48 @ SV53 ) ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[252]) ).
thf(265,plain,
! [SV48: a] :
( ( ( ( sK3_SY89 @ SV48 )
= ( sK4_SY132 @ SV48 ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[252]) ).
thf(266,plain,
! [SV54: a] :
( ( ! [SY283: a] :
( ~ ( sK1_Xp @ SV54 @ SY283 )
| ( sK3_SY89 @ SV54 @ ( sK9_SY157 @ SV54 ) @ ( sK10_SY225 @ SY283 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[253]) ).
thf(267,plain,
! [SV55: a] :
( ( ! [SY284: a] :
( ~ ( sK1_Xp @ SV55 @ SY284 )
| ( sK3_SY89 @ SV55 @ ( sK10_SY225 @ SV55 ) @ ( sK11_SY233 @ SY284 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[254]) ).
thf(268,plain,
( ( sK3_SY89 @ sK12_SY244 @ ( sK9_SY157 @ sK12_SY244 ) @ ( sK11_SY233 @ sK13_SY246 ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[256]) ).
thf(269,plain,
! [SV56: a] :
( ( ! [SY285: a] :
~ ( sK1_Xp @ SV56 @ SY285 )
| ! [SY286: b,SY287: b] :
( ~ ( sK3_SY89 @ SV56 @ SY286 @ SY287 )
| ( sK3_SY89 @ SV56 @ SY287 @ SY286 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[257]) ).
thf(270,plain,
! [SV57: a] :
( ( ! [SY288: a] :
~ ( sK1_Xp @ SV57 @ SY288 )
| ! [SY289: b,SY290: b,SY291: b] :
( ~ ( sK3_SY89 @ SV57 @ SY289 @ SY290 )
| ~ ( sK3_SY89 @ SV57 @ SY290 @ SY291 )
| ( sK3_SY89 @ SV57 @ SY289 @ SY291 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[258]) ).
thf(271,plain,
! [SV50: a,SV49: a] :
( ( ( sK1_Xp @ SV49 @ SV50 )
= $false )
| ( ( ( sK3_SY89 @ SV49 )
= ( sK3_SY89 @ SV50 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[259]) ).
thf(272,plain,
! [SV47: a,SV42: a] :
( ( ( sK1_Xp @ SV42 @ SV47 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV42 @ SV47 )
| ~ ( sK2_SY45 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(273,plain,
! [SV47: a,SV42: a] :
( ( ( sK2_SY45 @ SV42 @ SV47 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV42 @ SV47 )
| ~ ( sK2_SY45 @ SV42 @ SV47 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[260]) ).
thf(274,plain,
! [SV51: a] :
( ( ( ~ ( sK1_Xp @ SV51 @ SV51 ) )
= $true )
| ( ( ! [SY278: b,SY279: b] :
( ~ ( sK3_SY89 @ SV51 @ SY278 @ SY279 )
| ( sK3_SY89 @ SV51 @ SY279 @ SY278 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[262]) ).
thf(275,plain,
! [SV52: a] :
( ( ( ~ ( sK1_Xp @ SV52 @ SV52 ) )
= $true )
| ( ( ! [SY280: b,SY281: b,SY282: b] :
( ~ ( sK3_SY89 @ SV52 @ SY280 @ SY281 )
| ~ ( sK3_SY89 @ SV52 @ SY281 @ SY282 )
| ( sK3_SY89 @ SV52 @ SY280 @ SY282 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[263]) ).
thf(276,plain,
! [SV58: b,SV48: a] :
( ( ( ( sK3_SY89 @ SV48 @ SV58 )
= ( sK4_SY132 @ SV48 @ SV58 ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[264]) ).
thf(277,plain,
! [SV59: a,SV54: a] :
( ( ~ ( sK1_Xp @ SV54 @ SV59 )
| ( sK3_SY89 @ SV54 @ ( sK9_SY157 @ SV54 ) @ ( sK10_SY225 @ SV59 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[266]) ).
thf(278,plain,
! [SV60: a,SV55: a] :
( ( ~ ( sK1_Xp @ SV55 @ SV60 )
| ( sK3_SY89 @ SV55 @ ( sK10_SY225 @ SV55 ) @ ( sK11_SY233 @ SV60 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[267]) ).
thf(279,plain,
! [SV56: a] :
( ( ( ! [SY285: a] :
~ ( sK1_Xp @ SV56 @ SY285 ) )
= $true )
| ( ( ! [SY286: b,SY287: b] :
( ~ ( sK3_SY89 @ SV56 @ SY286 @ SY287 )
| ( sK3_SY89 @ SV56 @ SY287 @ SY286 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[269]) ).
thf(280,plain,
! [SV57: a] :
( ( ( ! [SY288: a] :
~ ( sK1_Xp @ SV57 @ SY288 ) )
= $true )
| ( ( ! [SY289: b,SY290: b,SY291: b] :
( ~ ( sK3_SY89 @ SV57 @ SY289 @ SY290 )
| ~ ( sK3_SY89 @ SV57 @ SY290 @ SY291 )
| ( sK3_SY89 @ SV57 @ SY289 @ SY291 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[270]) ).
thf(281,plain,
! [SV50: a,SV49: a] :
( ( ( ! [SV61: b] :
( ( sK3_SY89 @ SV49 @ SV61 )
= ( sK3_SY89 @ SV50 @ SV61 ) ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[271]) ).
thf(282,plain,
! [SV50: a,SV49: a] :
( ( ( ( sK3_SY89 @ SV49 )
= ( sK3_SY89 @ SV50 ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[271]) ).
thf(283,plain,
! [SV47: a,SV42: a] :
( ( ( ~ ( sK1_Xp @ SV42 @ SV47 )
| ~ ( sK2_SY45 @ SV42 @ SV47 ) )
= $false )
| ( ( sK1_Xp @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[272]) ).
thf(284,plain,
! [SV47: a,SV42: a] :
( ( ( ~ ( sK1_Xp @ SV42 @ SV47 )
| ~ ( sK2_SY45 @ SV42 @ SV47 ) )
= $false )
| ( ( sK2_SY45 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[273]) ).
thf(285,plain,
! [SV51: a] :
( ( ( sK1_Xp @ SV51 @ SV51 )
= $false )
| ( ( ! [SY278: b,SY279: b] :
( ~ ( sK3_SY89 @ SV51 @ SY278 @ SY279 )
| ( sK3_SY89 @ SV51 @ SY279 @ SY278 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[274]) ).
thf(286,plain,
! [SV52: a] :
( ( ( sK1_Xp @ SV52 @ SV52 )
= $false )
| ( ( ! [SY280: b,SY281: b,SY282: b] :
( ~ ( sK3_SY89 @ SV52 @ SY280 @ SY281 )
| ~ ( sK3_SY89 @ SV52 @ SY281 @ SY282 )
| ( sK3_SY89 @ SV52 @ SY280 @ SY282 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[275]) ).
thf(287,plain,
! [SV58: b,SV48: a] :
( ( ( ! [SV62: b] :
( ( sK3_SY89 @ SV48 @ SV58 @ SV62 )
= ( sK4_SY132 @ SV48 @ SV58 @ SV62 ) ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[276]) ).
thf(288,plain,
! [SV58: b,SV48: a] :
( ( ( ( sK3_SY89 @ SV48 @ SV58 )
= ( sK4_SY132 @ SV48 @ SV58 ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[276]) ).
thf(289,plain,
! [SV59: a,SV54: a] :
( ( ( ~ ( sK1_Xp @ SV54 @ SV59 ) )
= $true )
| ( ( sK3_SY89 @ SV54 @ ( sK9_SY157 @ SV54 ) @ ( sK10_SY225 @ SV59 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[277]) ).
thf(290,plain,
! [SV60: a,SV55: a] :
( ( ( ~ ( sK1_Xp @ SV55 @ SV60 ) )
= $true )
| ( ( sK3_SY89 @ SV55 @ ( sK10_SY225 @ SV55 ) @ ( sK11_SY233 @ SV60 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[278]) ).
thf(291,plain,
! [SV63: a,SV56: a] :
( ( ( ~ ( sK1_Xp @ SV56 @ SV63 ) )
= $true )
| ( ( ! [SY286: b,SY287: b] :
( ~ ( sK3_SY89 @ SV56 @ SY286 @ SY287 )
| ( sK3_SY89 @ SV56 @ SY287 @ SY286 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[279]) ).
thf(292,plain,
! [SV64: a,SV57: a] :
( ( ( ~ ( sK1_Xp @ SV57 @ SV64 ) )
= $true )
| ( ( ! [SY289: b,SY290: b,SY291: b] :
( ~ ( sK3_SY89 @ SV57 @ SY289 @ SY290 )
| ~ ( sK3_SY89 @ SV57 @ SY290 @ SY291 )
| ( sK3_SY89 @ SV57 @ SY289 @ SY291 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[280]) ).
thf(293,plain,
! [SV50: a,SV65: b,SV49: a] :
( ( ( ( sK3_SY89 @ SV49 @ SV65 )
= ( sK3_SY89 @ SV50 @ SV65 ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[281]) ).
thf(294,plain,
! [SV47: a,SV42: a] :
( ( ( ~ ( sK1_Xp @ SV42 @ SV47 ) )
= $false )
| ( ( sK1_Xp @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(295,plain,
! [SV47: a,SV42: a] :
( ( ( ~ ( sK2_SY45 @ SV42 @ SV47 ) )
= $false )
| ( ( sK1_Xp @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[283]) ).
thf(296,plain,
! [SV47: a,SV42: a] :
( ( ( ~ ( sK1_Xp @ SV42 @ SV47 ) )
= $false )
| ( ( sK2_SY45 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(297,plain,
! [SV47: a,SV42: a] :
( ( ( ~ ( sK2_SY45 @ SV42 @ SV47 ) )
= $false )
| ( ( sK2_SY45 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[284]) ).
thf(298,plain,
! [SV66: b,SV51: a] :
( ( ( ! [SY292: b] :
( ~ ( sK3_SY89 @ SV51 @ SV66 @ SY292 )
| ( sK3_SY89 @ SV51 @ SY292 @ SV66 ) ) )
= $true )
| ( ( sK1_Xp @ SV51 @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[285]) ).
thf(299,plain,
! [SV67: b,SV52: a] :
( ( ( ! [SY293: b,SY294: b] :
( ~ ( sK3_SY89 @ SV52 @ SV67 @ SY293 )
| ~ ( sK3_SY89 @ SV52 @ SY293 @ SY294 )
| ( sK3_SY89 @ SV52 @ SV67 @ SY294 ) ) )
= $true )
| ( ( sK1_Xp @ SV52 @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[286]) ).
thf(300,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[287]) ).
thf(301,plain,
! [SV59: a,SV54: a] :
( ( ( sK1_Xp @ SV54 @ SV59 )
= $false )
| ( ( sK3_SY89 @ SV54 @ ( sK9_SY157 @ SV54 ) @ ( sK10_SY225 @ SV59 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[289]) ).
thf(302,plain,
! [SV60: a,SV55: a] :
( ( ( sK1_Xp @ SV55 @ SV60 )
= $false )
| ( ( sK3_SY89 @ SV55 @ ( sK10_SY225 @ SV55 ) @ ( sK11_SY233 @ SV60 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[290]) ).
thf(303,plain,
! [SV63: a,SV56: a] :
( ( ( sK1_Xp @ SV56 @ SV63 )
= $false )
| ( ( ! [SY286: b,SY287: b] :
( ~ ( sK3_SY89 @ SV56 @ SY286 @ SY287 )
| ( sK3_SY89 @ SV56 @ SY287 @ SY286 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[291]) ).
thf(304,plain,
! [SV64: a,SV57: a] :
( ( ( sK1_Xp @ SV57 @ SV64 )
= $false )
| ( ( ! [SY289: b,SY290: b,SY291: b] :
( ~ ( sK3_SY89 @ SV57 @ SY289 @ SY290 )
| ~ ( sK3_SY89 @ SV57 @ SY290 @ SY291 )
| ( sK3_SY89 @ SV57 @ SY289 @ SY291 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[292]) ).
thf(305,plain,
! [SV50: a,SV65: b,SV49: a] :
( ( ( ! [SV69: b] :
( ( sK3_SY89 @ SV49 @ SV65 @ SV69 )
= ( sK3_SY89 @ SV50 @ SV65 @ SV69 ) ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[293]) ).
thf(306,plain,
! [SV50: a,SV65: b,SV49: a] :
( ( ( ( sK3_SY89 @ SV49 @ SV65 )
= ( sK3_SY89 @ SV50 @ SV65 ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[293]) ).
thf(307,plain,
! [SV47: a,SV42: a] :
( ( ( sK1_Xp @ SV42 @ SV47 )
= $true )
| ( ( sK1_Xp @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[294]) ).
thf(308,plain,
! [SV47: a,SV42: a] :
( ( ( sK2_SY45 @ SV42 @ SV47 )
= $true )
| ( ( sK1_Xp @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[295]) ).
thf(309,plain,
! [SV47: a,SV42: a] :
( ( ( sK1_Xp @ SV42 @ SV47 )
= $true )
| ( ( sK2_SY45 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[296]) ).
thf(310,plain,
! [SV47: a,SV42: a] :
( ( ( sK2_SY45 @ SV42 @ SV47 )
= $true )
| ( ( sK2_SY45 @ SV42 @ SV47 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[297]) ).
thf(311,plain,
! [SV70: b,SV66: b,SV51: a] :
( ( ( ~ ( sK3_SY89 @ SV51 @ SV66 @ SV70 )
| ( sK3_SY89 @ SV51 @ SV70 @ SV66 ) )
= $true )
| ( ( sK1_Xp @ SV51 @ SV51 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[298]) ).
thf(312,plain,
! [SV71: b,SV67: b,SV52: a] :
( ( ( ! [SY295: b] :
( ~ ( sK3_SY89 @ SV52 @ SV67 @ SV71 )
| ~ ( sK3_SY89 @ SV52 @ SV71 @ SY295 )
| ( sK3_SY89 @ SV52 @ SV67 @ SY295 ) ) )
= $true )
| ( ( sK1_Xp @ SV52 @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[299]) ).
thf(313,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ~ ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) )
| ~ ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[300]) ).
thf(314,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[300]) ).
thf(315,plain,
! [SV63: a,SV72: b,SV56: a] :
( ( ( ! [SY296: b] :
( ~ ( sK3_SY89 @ SV56 @ SV72 @ SY296 )
| ( sK3_SY89 @ SV56 @ SY296 @ SV72 ) ) )
= $true )
| ( ( sK1_Xp @ SV56 @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[303]) ).
thf(316,plain,
! [SV64: a,SV73: b,SV57: a] :
( ( ( ! [SY297: b,SY298: b] :
( ~ ( sK3_SY89 @ SV57 @ SV73 @ SY297 )
| ~ ( sK3_SY89 @ SV57 @ SY297 @ SY298 )
| ( sK3_SY89 @ SV57 @ SV73 @ SY298 ) ) )
= $true )
| ( ( sK1_Xp @ SV57 @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[304]) ).
thf(317,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[305]) ).
thf(318,plain,
! [SV70: b,SV66: b,SV51: a] :
( ( ( ~ ( sK3_SY89 @ SV51 @ SV66 @ SV70 ) )
= $true )
| ( ( sK3_SY89 @ SV51 @ SV70 @ SV66 )
= $true )
| ( ( sK1_Xp @ SV51 @ SV51 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[311]) ).
thf(319,plain,
! [SV75: b,SV71: b,SV67: b,SV52: a] :
( ( ( ~ ( sK3_SY89 @ SV52 @ SV67 @ SV71 )
| ~ ( sK3_SY89 @ SV52 @ SV71 @ SV75 )
| ( sK3_SY89 @ SV52 @ SV67 @ SV75 ) )
= $true )
| ( ( sK1_Xp @ SV52 @ SV52 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[312]) ).
thf(320,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ~ ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[313]) ).
thf(321,plain,
! [SV63: a,SV76: b,SV72: b,SV56: a] :
( ( ( ~ ( sK3_SY89 @ SV56 @ SV72 @ SV76 )
| ( sK3_SY89 @ SV56 @ SV76 @ SV72 ) )
= $true )
| ( ( sK1_Xp @ SV56 @ SV63 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[315]) ).
thf(322,plain,
! [SV64: a,SV77: b,SV73: b,SV57: a] :
( ( ( ! [SY299: b] :
( ~ ( sK3_SY89 @ SV57 @ SV73 @ SV77 )
| ~ ( sK3_SY89 @ SV57 @ SV77 @ SY299 )
| ( sK3_SY89 @ SV57 @ SV73 @ SY299 ) ) )
= $true )
| ( ( sK1_Xp @ SV57 @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[316]) ).
thf(323,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ~ ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) )
| ~ ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[317]) ).
thf(324,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[317]) ).
thf(325,plain,
! [SV70: b,SV66: b,SV51: a] :
( ( ( sK3_SY89 @ SV51 @ SV66 @ SV70 )
= $false )
| ( ( sK3_SY89 @ SV51 @ SV70 @ SV66 )
= $true )
| ( ( sK1_Xp @ SV51 @ SV51 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[318]) ).
thf(326,plain,
! [SV75: b,SV71: b,SV67: b,SV52: a] :
( ( ( ~ ( sK3_SY89 @ SV52 @ SV67 @ SV71 )
| ~ ( sK3_SY89 @ SV52 @ SV71 @ SV75 ) )
= $true )
| ( ( sK3_SY89 @ SV52 @ SV67 @ SV75 )
= $true )
| ( ( sK1_Xp @ SV52 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[319]) ).
thf(327,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[320]) ).
thf(328,plain,
! [SV63: a,SV76: b,SV72: b,SV56: a] :
( ( ( ~ ( sK3_SY89 @ SV56 @ SV72 @ SV76 ) )
= $true )
| ( ( sK3_SY89 @ SV56 @ SV76 @ SV72 )
= $true )
| ( ( sK1_Xp @ SV56 @ SV63 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[321]) ).
thf(329,plain,
! [SV64: a,SV78: b,SV77: b,SV73: b,SV57: a] :
( ( ( ~ ( sK3_SY89 @ SV57 @ SV73 @ SV77 )
| ~ ( sK3_SY89 @ SV57 @ SV77 @ SV78 )
| ( sK3_SY89 @ SV57 @ SV73 @ SV78 ) )
= $true )
| ( ( sK1_Xp @ SV57 @ SV64 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[322]) ).
thf(330,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ~ ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[323]) ).
thf(331,plain,
! [SV75: b,SV71: b,SV67: b,SV52: a] :
( ( ( ~ ( sK3_SY89 @ SV52 @ SV67 @ SV71 ) )
= $true )
| ( ( ~ ( sK3_SY89 @ SV52 @ SV71 @ SV75 ) )
= $true )
| ( ( sK3_SY89 @ SV52 @ SV67 @ SV75 )
= $true )
| ( ( sK1_Xp @ SV52 @ SV52 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[326]) ).
thf(332,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(333,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( sK4_SY132 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) ) )
= $true )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[327]) ).
thf(334,plain,
! [SV63: a,SV76: b,SV72: b,SV56: a] :
( ( ( sK3_SY89 @ SV56 @ SV72 @ SV76 )
= $false )
| ( ( sK3_SY89 @ SV56 @ SV76 @ SV72 )
= $true )
| ( ( sK1_Xp @ SV56 @ SV63 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[328]) ).
thf(335,plain,
! [SV64: a,SV78: b,SV77: b,SV73: b,SV57: a] :
( ( ( ~ ( sK3_SY89 @ SV57 @ SV73 @ SV77 )
| ~ ( sK3_SY89 @ SV57 @ SV77 @ SV78 ) )
= $true )
| ( ( sK3_SY89 @ SV57 @ SV73 @ SV78 )
= $true )
| ( ( sK1_Xp @ SV57 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[329]) ).
thf(336,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[330]) ).
thf(337,plain,
! [SV75: b,SV71: b,SV67: b,SV52: a] :
( ( ( sK3_SY89 @ SV52 @ SV67 @ SV71 )
= $false )
| ( ( ~ ( sK3_SY89 @ SV52 @ SV71 @ SV75 ) )
= $true )
| ( ( sK3_SY89 @ SV52 @ SV67 @ SV75 )
= $true )
| ( ( sK1_Xp @ SV52 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[331]) ).
thf(338,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) )
= $false )
| ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[332]) ).
thf(339,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
| ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) )
= $false )
| ( ( sK4_SY132 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[333]) ).
thf(340,plain,
! [SV64: a,SV78: b,SV77: b,SV73: b,SV57: a] :
( ( ( ~ ( sK3_SY89 @ SV57 @ SV73 @ SV77 ) )
= $true )
| ( ( ~ ( sK3_SY89 @ SV57 @ SV77 @ SV78 ) )
= $true )
| ( ( sK3_SY89 @ SV57 @ SV73 @ SV78 )
= $true )
| ( ( sK1_Xp @ SV57 @ SV64 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[335]) ).
thf(341,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(342,plain,
! [SV49: a,SV74: b,SV65: b,SV50: a] :
( ( ( sK3_SY89 @ SV50 @ SV65 @ SV74 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) ) )
= $true )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[336]) ).
thf(343,plain,
! [SV67: b,SV75: b,SV71: b,SV52: a] :
( ( ( sK3_SY89 @ SV52 @ SV71 @ SV75 )
= $false )
| ( ( sK3_SY89 @ SV52 @ SV67 @ SV71 )
= $false )
| ( ( sK3_SY89 @ SV52 @ SV67 @ SV75 )
= $true )
| ( ( sK1_Xp @ SV52 @ SV52 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[337]) ).
thf(344,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 ) )
= $false )
| ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(345,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) )
= $false )
| ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[338]) ).
thf(346,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ~ ( sK3_SY89 @ SV48 @ SV58 @ SV68 ) )
= $false )
| ( ( sK4_SY132 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(347,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( ~ ( sK4_SY132 @ SV48 @ SV58 @ SV68 ) )
= $false )
| ( ( sK4_SY132 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[339]) ).
thf(348,plain,
! [SV64: a,SV78: b,SV77: b,SV73: b,SV57: a] :
( ( ( sK3_SY89 @ SV57 @ SV73 @ SV77 )
= $false )
| ( ( ~ ( sK3_SY89 @ SV57 @ SV77 @ SV78 ) )
= $true )
| ( ( sK3_SY89 @ SV57 @ SV73 @ SV78 )
= $true )
| ( ( sK1_Xp @ SV57 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[340]) ).
thf(349,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) )
= $false )
| ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[341]) ).
thf(350,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
| ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) )
= $false )
| ( ( sK3_SY89 @ SV50 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[342]) ).
thf(351,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= $true )
| ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[344]) ).
thf(352,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( sK4_SY132 @ SV48 @ SV58 @ SV68 )
= $true )
| ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[345]) ).
thf(353,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( sK3_SY89 @ SV48 @ SV58 @ SV68 )
= $true )
| ( ( sK4_SY132 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[346]) ).
thf(354,plain,
! [SV68: b,SV58: b,SV48: a] :
( ( ( sK4_SY132 @ SV48 @ SV58 @ SV68 )
= $true )
| ( ( sK4_SY132 @ SV48 @ SV58 @ SV68 )
= $false )
| ( ( sK1_Xp @ SV48 @ SV48 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[347]) ).
thf(355,plain,
! [SV64: a,SV73: b,SV78: b,SV77: b,SV57: a] :
( ( ( sK3_SY89 @ SV57 @ SV77 @ SV78 )
= $false )
| ( ( sK3_SY89 @ SV57 @ SV73 @ SV77 )
= $false )
| ( ( sK3_SY89 @ SV57 @ SV73 @ SV78 )
= $true )
| ( ( sK1_Xp @ SV57 @ SV64 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[348]) ).
thf(356,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 ) )
= $false )
| ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(357,plain,
! [SV49: a,SV74: b,SV65: b,SV50: a] :
( ( ( ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) )
= $false )
| ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[349]) ).
thf(358,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( ~ ( sK3_SY89 @ SV49 @ SV65 @ SV74 ) )
= $false )
| ( ( sK3_SY89 @ SV50 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(359,plain,
! [SV49: a,SV74: b,SV65: b,SV50: a] :
( ( ( ~ ( sK3_SY89 @ SV50 @ SV65 @ SV74 ) )
= $false )
| ( ( sK3_SY89 @ SV50 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[350]) ).
thf(360,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= $true )
| ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[356]) ).
thf(361,plain,
! [SV49: a,SV74: b,SV65: b,SV50: a] :
( ( ( sK3_SY89 @ SV50 @ SV65 @ SV74 )
= $true )
| ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[357]) ).
thf(362,plain,
! [SV50: a,SV74: b,SV65: b,SV49: a] :
( ( ( sK3_SY89 @ SV49 @ SV65 @ SV74 )
= $true )
| ( ( sK3_SY89 @ SV50 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[358]) ).
thf(363,plain,
! [SV49: a,SV74: b,SV65: b,SV50: a] :
( ( ( sK3_SY89 @ SV50 @ SV65 @ SV74 )
= $true )
| ( ( sK3_SY89 @ SV50 @ SV65 @ SV74 )
= $false )
| ( ( sK1_Xp @ SV49 @ SV50 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[359]) ).
thf(364,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[201,363,362,361,360,355,354,353,352,351,343,334,325,324,314,310,309,308,307,306,302,301,288,282,268,265,261,255,236,228,217]) ).
thf(365,plain,
( ( ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ! [SY146: b,SY147: b] :
( ~ ( sK3_SY89 @ SY186 @ SY146 @ SY147 )
| ( sK3_SY89 @ SY186 @ SY147 @ SY146 ) ) )
& ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ! [SY148: b,SY149: b,SY150: b] :
( ~ ( sK3_SY89 @ SY186 @ SY148 @ SY149 )
| ~ ( sK3_SY89 @ SY186 @ SY149 @ SY150 )
| ( sK3_SY89 @ SY186 @ SY148 @ SY150 ) ) )
& ! [SY186: a] :
( ~ ( sK1_Xp @ SY186 @ SY186 )
| ( ( sK3_SY89 @ SY186 )
= ( sK4_SY132 @ SY186 ) ) ) )
= $true ),
inference(copy,[status(thm)],[25]) ).
thf(366,plain,
( ( ! [SY138: a] :
( ! [SY139: a] :
~ ( sK1_Xp @ SY138 @ SY139 )
| ! [SY140: b,SY141: b] :
( ~ ( sK3_SY89 @ SY138 @ SY140 @ SY141 )
| ( sK3_SY89 @ SY138 @ SY141 @ SY140 ) ) )
& ! [SY138: a] :
( ! [SY139: a] :
~ ( sK1_Xp @ SY138 @ SY139 )
| ! [SY142: b,SY143: b,SY144: b] :
( ~ ( sK3_SY89 @ SY138 @ SY142 @ SY143 )
| ~ ( sK3_SY89 @ SY138 @ SY143 @ SY144 )
| ( sK3_SY89 @ SY138 @ SY142 @ SY144 ) ) )
& ! [SY138: a,SY139: a] :
( ~ ( sK1_Xp @ SY138 @ SY139 )
| ( ( sK3_SY89 @ SY138 )
= ( sK3_SY89 @ SY139 ) ) ) )
= $true ),
inference(copy,[status(thm)],[24]) ).
thf(367,plain,
( ( sK1_Xp = sK2_SY45 )
= $true ),
inference(copy,[status(thm)],[10]) ).
thf(368,plain,
( ( ! [SY50: a,SY51: a,SY52: a] :
( ~ ( sK1_Xp @ SY50 @ SY51 )
| ~ ( sK1_Xp @ SY51 @ SY52 )
| ( sK1_Xp @ SY50 @ SY52 ) ) )
= $true ),
inference(copy,[status(thm)],[23]) ).
thf(369,plain,
( ( ! [SY48: a,SY49: a] :
( ~ ( sK1_Xp @ SY48 @ SY49 )
| ( sK1_Xp @ SY49 @ SY48 ) ) )
= $true ),
inference(copy,[status(thm)],[22]) ).
thf(370,plain,
( ( ( ^ [SY166: a > b,SY167: a > b] :
! [SY168: a,SY169: a] :
( ( sK1_Xp @ SY168 @ SY169 )
=> ( sK3_SY89 @ SY168 @ ( SY166 @ SY168 ) @ ( SY167 @ SY169 ) ) ) )
!= ( ^ [SY211: a > b,SY212: a > b] :
! [SY213: a,SY214: a] :
( ( sK2_SY45 @ SY213 @ SY214 )
=> ( sK4_SY132 @ SY213 @ ( SY211 @ SY213 ) @ ( SY212 @ SY214 ) ) ) ) )
= $true ),
inference(copy,[status(thm)],[19]) ).
thf(371,plain,
( ( ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK3_SY89 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) )
!= ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK2_SY45 @ SX2 @ SX3 )
| ( sK4_SY132 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[370]) ).
thf(372,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[366]) ).
thf(373,plain,
( ( ~ ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) ) )
= $true ),
inference(unfold_def,[status(thm)],[365]) ).
thf(374,plain,
( ( ! [SV79: a] :
( ( sK1_Xp @ SV79 )
= ( sK2_SY45 @ SV79 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[367]) ).
thf(375,plain,
( ( sK1_Xp = sK2_SY45 )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[367]) ).
thf(376,plain,
! [SV80: a] :
( ( ! [SY300: a,SY301: a] :
( ~ ( sK1_Xp @ SV80 @ SY300 )
| ~ ( sK1_Xp @ SY300 @ SY301 )
| ( sK1_Xp @ SV80 @ SY301 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[368]) ).
thf(377,plain,
! [SV81: a] :
( ( ! [SY302: a] :
( ~ ( sK1_Xp @ SV81 @ SY302 )
| ( sK1_Xp @ SY302 @ SV81 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[369]) ).
thf(378,plain,
( ( ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK3_SY89 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) )
= ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK2_SY45 @ SX2 @ SX3 )
| ( sK4_SY132 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[371]) ).
thf(379,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[372]) ).
thf(380,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[373]) ).
thf(381,plain,
! [SV82: a] :
( ( ( sK1_Xp @ SV82 )
= ( sK2_SY45 @ SV82 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[374]) ).
thf(382,plain,
! [SV83: a,SV80: a] :
( ( ! [SY303: a] :
( ~ ( sK1_Xp @ SV80 @ SV83 )
| ~ ( sK1_Xp @ SV83 @ SY303 )
| ( sK1_Xp @ SV80 @ SY303 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[376]) ).
thf(383,plain,
! [SV84: a,SV81: a] :
( ( ~ ( sK1_Xp @ SV81 @ SV84 )
| ( sK1_Xp @ SV84 @ SV81 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[377]) ).
thf(384,plain,
( ( ! [SV85: a > b] :
( ( ^ [SY304: a > b] :
! [SY305: a,SY306: a] :
( ~ ( sK1_Xp @ SY305 @ SY306 )
| ( sK3_SY89 @ SY305 @ ( SV85 @ SY305 ) @ ( SY304 @ SY306 ) ) ) )
= ( ^ [SY307: a > b] :
! [SY308: a,SY309: a] :
( ~ ( sK2_SY45 @ SY308 @ SY309 )
| ( sK4_SY132 @ SY308 @ ( SV85 @ SY308 ) @ ( SY307 @ SY309 ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[378]) ).
thf(385,plain,
( ( ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK1_Xp @ SX2 @ SX3 )
| ( sK3_SY89 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) )
= ( ^ [SX0: a > b,SX1: a > b] :
! [SX2: a,SX3: a] :
( ~ ( sK2_SY45 @ SX2 @ SX3 )
| ( sK4_SY132 @ SX2 @ ( SX0 @ SX2 ) @ ( SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[378]) ).
thf(386,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(387,plain,
( ( ~ ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[379]) ).
thf(388,plain,
( ( ~ ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(389,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[380]) ).
thf(390,plain,
! [SV82: a] :
( ( ! [SV86: a] :
( ( sK1_Xp @ SV82 @ SV86 )
= ( sK2_SY45 @ SV82 @ SV86 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[381]) ).
thf(391,plain,
! [SV82: a] :
( ( ( sK1_Xp @ SV82 )
= ( sK2_SY45 @ SV82 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[381]) ).
thf(392,plain,
! [SV87: a,SV83: a,SV80: a] :
( ( ~ ( sK1_Xp @ SV80 @ SV83 )
| ~ ( sK1_Xp @ SV83 @ SV87 )
| ( sK1_Xp @ SV80 @ SV87 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[382]) ).
thf(393,plain,
! [SV84: a,SV81: a] :
( ( ( ~ ( sK1_Xp @ SV81 @ SV84 ) )
= $true )
| ( ( sK1_Xp @ SV84 @ SV81 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[383]) ).
thf(394,plain,
( ( ( ^ [SY310: a > b] :
! [SY311: a,SY312: a] :
( ~ ( sK1_Xp @ SY311 @ SY312 )
| ( sK3_SY89 @ SY311 @ ( sK14_SV85 @ SY311 ) @ ( SY310 @ SY312 ) ) ) )
= ( ^ [SY313: a > b] :
! [SY314: a,SY315: a] :
( ~ ( sK2_SY45 @ SY314 @ SY315 )
| ( sK4_SY132 @ SY314 @ ( sK14_SV85 @ SY314 ) @ ( SY313 @ SY315 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[384]) ).
thf(395,plain,
( ( ~ ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[386]) ).
thf(396,plain,
( ( ! [SX0: a,SX1: a] :
( ~ ( sK1_Xp @ SX0 @ SX1 )
| ( ( sK3_SY89 @ SX0 )
= ( sK3_SY89 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[387]) ).
thf(397,plain,
( ( ~ ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[388]) ).
thf(398,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ( ( sK3_SY89 @ SX0 )
= ( sK4_SY132 @ SX0 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[389]) ).
thf(399,plain,
! [SV88: a,SV82: a] :
( ( ( sK1_Xp @ SV82 @ SV88 )
= ( sK2_SY45 @ SV82 @ SV88 ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[390]) ).
thf(400,plain,
! [SV87: a,SV83: a,SV80: a] :
( ( ( ~ ( sK1_Xp @ SV80 @ SV83 )
| ~ ( sK1_Xp @ SV83 @ SV87 ) )
= $true )
| ( ( sK1_Xp @ SV80 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[392]) ).
thf(401,plain,
! [SV84: a,SV81: a] :
( ( ( sK1_Xp @ SV81 @ SV84 )
= $false )
| ( ( sK1_Xp @ SV84 @ SV81 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[393]) ).
thf(402,plain,
( ( ! [SV89: a > b] :
( ( ! [SY316: a,SY317: a] :
( ~ ( sK1_Xp @ SY316 @ SY317 )
| ( sK3_SY89 @ SY316 @ ( sK14_SV85 @ SY316 ) @ ( SV89 @ SY317 ) ) ) )
= ( ! [SY318: a,SY319: a] :
( ~ ( sK2_SY45 @ SY318 @ SY319 )
| ( sK4_SY132 @ SY318 @ ( sK14_SV85 @ SY318 ) @ ( SV89 @ SY319 ) ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[394]) ).
thf(403,plain,
( ( ( ^ [SY310: a > b] :
! [SY311: a,SY312: a] :
( ~ ( sK1_Xp @ SY311 @ SY312 )
| ( sK3_SY89 @ SY311 @ ( sK14_SV85 @ SY311 ) @ ( SY310 @ SY312 ) ) ) )
= ( ^ [SY313: a > b] :
! [SY314: a,SY315: a] :
( ~ ( sK2_SY45 @ SY314 @ SY315 )
| ( sK4_SY132 @ SY314 @ ( sK14_SV85 @ SY314 ) @ ( SY313 @ SY315 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[394]) ).
thf(404,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[395]) ).
thf(405,plain,
! [SV90: a] :
( ( ! [SY320: a] :
( ~ ( sK1_Xp @ SV90 @ SY320 )
| ( ( sK3_SY89 @ SV90 )
= ( sK3_SY89 @ SY320 ) ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[396]) ).
thf(406,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) )
| ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_not_pos,[status(thm)],[397]) ).
thf(407,plain,
! [SV91: a] :
( ( ~ ( sK1_Xp @ SV91 @ SV91 )
| ( ( sK3_SY89 @ SV91 )
= ( sK4_SY132 @ SV91 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[398]) ).
thf(408,plain,
! [SV88: a,SV82: a] :
( ( ~ ( ( sK1_Xp @ SV82 @ SV88 )
| ( sK2_SY45 @ SV82 @ SV88 ) )
| ~ ( ~ ( sK1_Xp @ SV82 @ SV88 )
| ~ ( sK2_SY45 @ SV82 @ SV88 ) ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[399]) ).
thf(409,plain,
! [SV88: a,SV82: a] :
( ( ( sK1_Xp @ SV82 @ SV88 )
= ( sK2_SY45 @ SV82 @ SV88 ) )
= $true ),
inference(extcnf_equal_pos,[status(thm)],[399]) ).
thf(410,plain,
! [SV87: a,SV83: a,SV80: a] :
( ( ( ~ ( sK1_Xp @ SV80 @ SV83 ) )
= $true )
| ( ( ~ ( sK1_Xp @ SV83 @ SV87 ) )
= $true )
| ( ( sK1_Xp @ SV80 @ SV87 )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[400]) ).
thf(411,plain,
( ( ( ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) ) )
= ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) ) )
= $false ),
inference(extcnf_forall_neg,[status(esa)],[402]) ).
thf(412,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(413,plain,
( ( ~ ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[404]) ).
thf(414,plain,
! [SV92: a,SV90: a] :
( ( ~ ( sK1_Xp @ SV90 @ SV92 )
| ( ( sK3_SY89 @ SV90 )
= ( sK3_SY89 @ SV92 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[405]) ).
thf(415,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(416,plain,
( ( ~ ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[406]) ).
thf(417,plain,
! [SV91: a] :
( ( ( ~ ( sK1_Xp @ SV91 @ SV91 ) )
= $true )
| ( ( ( sK3_SY89 @ SV91 )
= ( sK4_SY132 @ SV91 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[407]) ).
thf(418,plain,
! [SV88: a,SV82: a] :
( ( ( ~ ( ( sK1_Xp @ SV82 @ SV88 )
| ( sK2_SY45 @ SV82 @ SV88 ) ) )
= $true )
| ( ( ~ ( ~ ( sK1_Xp @ SV82 @ SV88 )
| ~ ( sK2_SY45 @ SV82 @ SV88 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[408]) ).
thf(419,plain,
! [SV87: a,SV83: a,SV80: a] :
( ( ( sK1_Xp @ SV80 @ SV83 )
= $false )
| ( ( ~ ( sK1_Xp @ SV83 @ SV87 ) )
= $true )
| ( ( sK1_Xp @ SV80 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[410]) ).
thf(420,plain,
( ( ~ ( ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) )
| ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
| ~ ( ~ ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) )
| ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[411]) ).
thf(421,plain,
( ( ( ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) ) )
= ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) ) )
= $false ),
inference(extcnf_equal_neg,[status(thm)],[411]) ).
thf(422,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[412]) ).
thf(423,plain,
( ( ! [SX0: a] :
( ! [SX1: a] :
~ ( sK1_Xp @ SX0 @ SX1 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[413]) ).
thf(424,plain,
! [SV92: a,SV90: a] :
( ( ( ~ ( sK1_Xp @ SV90 @ SV92 ) )
= $true )
| ( ( ( sK3_SY89 @ SV90 )
= ( sK3_SY89 @ SV92 ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[414]) ).
thf(425,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ( sK3_SY89 @ SX0 @ SX2 @ SX1 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[415]) ).
thf(426,plain,
( ( ! [SX0: a] :
( ~ ( sK1_Xp @ SX0 @ SX0 )
| ! [SX1: b,SX2: b,SX3: b] :
( ~ ( sK3_SY89 @ SX0 @ SX1 @ SX2 )
| ~ ( sK3_SY89 @ SX0 @ SX2 @ SX3 )
| ( sK3_SY89 @ SX0 @ SX1 @ SX3 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[416]) ).
thf(427,plain,
! [SV91: a] :
( ( ( sK1_Xp @ SV91 @ SV91 )
= $false )
| ( ( ( sK3_SY89 @ SV91 )
= ( sK4_SY132 @ SV91 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[417]) ).
thf(428,plain,
! [SV88: a,SV82: a] :
( ( ( ( sK1_Xp @ SV82 @ SV88 )
| ( sK2_SY45 @ SV82 @ SV88 ) )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV82 @ SV88 )
| ~ ( sK2_SY45 @ SV82 @ SV88 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[418]) ).
thf(429,plain,
! [SV80: a,SV87: a,SV83: a] :
( ( ( sK1_Xp @ SV83 @ SV87 )
= $false )
| ( ( sK1_Xp @ SV80 @ SV83 )
= $false )
| ( ( sK1_Xp @ SV80 @ SV87 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[419]) ).
thf(430,plain,
( ( ~ ( ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) )
| ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(431,plain,
( ( ~ ( ~ ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) )
| ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) ) )
= $false ),
inference(extcnf_or_neg,[status(thm)],[420]) ).
thf(432,plain,
! [SV93: a] :
( ( ! [SY325: a] :
~ ( sK1_Xp @ SV93 @ SY325 )
| ! [SY326: b,SY327: b] :
( ~ ( sK3_SY89 @ SV93 @ SY326 @ SY327 )
| ( sK3_SY89 @ SV93 @ SY327 @ SY326 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[422]) ).
thf(433,plain,
! [SV94: a] :
( ( ! [SY328: a] :
~ ( sK1_Xp @ SV94 @ SY328 )
| ! [SY329: b,SY330: b,SY331: b] :
( ~ ( sK3_SY89 @ SV94 @ SY329 @ SY330 )
| ~ ( sK3_SY89 @ SV94 @ SY330 @ SY331 )
| ( sK3_SY89 @ SV94 @ SY329 @ SY331 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[423]) ).
thf(434,plain,
! [SV92: a,SV90: a] :
( ( ( sK1_Xp @ SV90 @ SV92 )
= $false )
| ( ( ( sK3_SY89 @ SV90 )
= ( sK3_SY89 @ SV92 ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[424]) ).
thf(435,plain,
! [SV95: a] :
( ( ~ ( sK1_Xp @ SV95 @ SV95 )
| ! [SY332: b,SY333: b] :
( ~ ( sK3_SY89 @ SV95 @ SY332 @ SY333 )
| ( sK3_SY89 @ SV95 @ SY333 @ SY332 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[425]) ).
thf(436,plain,
! [SV96: a] :
( ( ~ ( sK1_Xp @ SV96 @ SV96 )
| ! [SY334: b,SY335: b,SY336: b] :
( ~ ( sK3_SY89 @ SV96 @ SY334 @ SY335 )
| ~ ( sK3_SY89 @ SV96 @ SY335 @ SY336 )
| ( sK3_SY89 @ SV96 @ SY334 @ SY336 ) ) )
= $true ),
inference(extcnf_forall_pos,[status(thm)],[426]) ).
thf(437,plain,
! [SV91: a] :
( ( ( ! [SV97: b] :
( ( sK3_SY89 @ SV91 @ SV97 )
= ( sK4_SY132 @ SV91 @ SV97 ) ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[427]) ).
thf(438,plain,
! [SV91: a] :
( ( ( ( sK3_SY89 @ SV91 )
= ( sK4_SY132 @ SV91 ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[427]) ).
thf(439,plain,
! [SV88: a,SV82: a] :
( ( ( sK1_Xp @ SV82 @ SV88 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV82 @ SV88 )
| ~ ( sK2_SY45 @ SV82 @ SV88 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(440,plain,
! [SV88: a,SV82: a] :
( ( ( sK2_SY45 @ SV82 @ SV88 )
= $false )
| ( ( ~ ( ~ ( sK1_Xp @ SV82 @ SV88 )
| ~ ( sK2_SY45 @ SV82 @ SV88 ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[428]) ).
thf(441,plain,
( ( ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) )
| ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[430]) ).
thf(442,plain,
( ( ~ ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) )
| ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ),
inference(extcnf_not_neg,[status(thm)],[431]) ).
thf(443,plain,
! [SV93: a] :
( ( ( ! [SY325: a] :
~ ( sK1_Xp @ SV93 @ SY325 ) )
= $true )
| ( ( ! [SY326: b,SY327: b] :
( ~ ( sK3_SY89 @ SV93 @ SY326 @ SY327 )
| ( sK3_SY89 @ SV93 @ SY327 @ SY326 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[432]) ).
thf(444,plain,
! [SV94: a] :
( ( ( ! [SY328: a] :
~ ( sK1_Xp @ SV94 @ SY328 ) )
= $true )
| ( ( ! [SY329: b,SY330: b,SY331: b] :
( ~ ( sK3_SY89 @ SV94 @ SY329 @ SY330 )
| ~ ( sK3_SY89 @ SV94 @ SY330 @ SY331 )
| ( sK3_SY89 @ SV94 @ SY329 @ SY331 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[433]) ).
thf(445,plain,
! [SV92: a,SV90: a] :
( ( ( ! [SV98: b] :
( ( sK3_SY89 @ SV90 @ SV98 )
= ( sK3_SY89 @ SV92 @ SV98 ) ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[434]) ).
thf(446,plain,
! [SV92: a,SV90: a] :
( ( ( ( sK3_SY89 @ SV90 )
= ( sK3_SY89 @ SV92 ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[434]) ).
thf(447,plain,
! [SV95: a] :
( ( ( ~ ( sK1_Xp @ SV95 @ SV95 ) )
= $true )
| ( ( ! [SY332: b,SY333: b] :
( ~ ( sK3_SY89 @ SV95 @ SY332 @ SY333 )
| ( sK3_SY89 @ SV95 @ SY333 @ SY332 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[435]) ).
thf(448,plain,
! [SV96: a] :
( ( ( ~ ( sK1_Xp @ SV96 @ SV96 ) )
= $true )
| ( ( ! [SY334: b,SY335: b,SY336: b] :
( ~ ( sK3_SY89 @ SV96 @ SY334 @ SY335 )
| ~ ( sK3_SY89 @ SV96 @ SY335 @ SY336 )
| ( sK3_SY89 @ SV96 @ SY334 @ SY336 ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[436]) ).
thf(449,plain,
! [SV99: b,SV91: a] :
( ( ( ( sK3_SY89 @ SV91 @ SV99 )
= ( sK4_SY132 @ SV91 @ SV99 ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[437]) ).
thf(450,plain,
! [SV88: a,SV82: a] :
( ( ( ~ ( sK1_Xp @ SV82 @ SV88 )
| ~ ( sK2_SY45 @ SV82 @ SV88 ) )
= $false )
| ( ( sK1_Xp @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[439]) ).
thf(451,plain,
! [SV88: a,SV82: a] :
( ( ( ~ ( sK1_Xp @ SV82 @ SV88 )
| ~ ( sK2_SY45 @ SV82 @ SV88 ) )
= $false )
| ( ( sK2_SY45 @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[440]) ).
thf(452,plain,
( ( ( ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) ) )
= $true )
| ( ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[441]) ).
thf(453,plain,
( ( ( ~ ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) ) )
= $true )
| ( ( ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[442]) ).
thf(454,plain,
! [SV100: a,SV93: a] :
( ( ( ~ ( sK1_Xp @ SV93 @ SV100 ) )
= $true )
| ( ( ! [SY326: b,SY327: b] :
( ~ ( sK3_SY89 @ SV93 @ SY326 @ SY327 )
| ( sK3_SY89 @ SV93 @ SY327 @ SY326 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[443]) ).
thf(455,plain,
! [SV101: a,SV94: a] :
( ( ( ~ ( sK1_Xp @ SV94 @ SV101 ) )
= $true )
| ( ( ! [SY329: b,SY330: b,SY331: b] :
( ~ ( sK3_SY89 @ SV94 @ SY329 @ SY330 )
| ~ ( sK3_SY89 @ SV94 @ SY330 @ SY331 )
| ( sK3_SY89 @ SV94 @ SY329 @ SY331 ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[444]) ).
thf(456,plain,
! [SV92: a,SV102: b,SV90: a] :
( ( ( ( sK3_SY89 @ SV90 @ SV102 )
= ( sK3_SY89 @ SV92 @ SV102 ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[445]) ).
thf(457,plain,
! [SV95: a] :
( ( ( sK1_Xp @ SV95 @ SV95 )
= $false )
| ( ( ! [SY332: b,SY333: b] :
( ~ ( sK3_SY89 @ SV95 @ SY332 @ SY333 )
| ( sK3_SY89 @ SV95 @ SY333 @ SY332 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[447]) ).
thf(458,plain,
! [SV96: a] :
( ( ( sK1_Xp @ SV96 @ SV96 )
= $false )
| ( ( ! [SY334: b,SY335: b,SY336: b] :
( ~ ( sK3_SY89 @ SV96 @ SY334 @ SY335 )
| ~ ( sK3_SY89 @ SV96 @ SY335 @ SY336 )
| ( sK3_SY89 @ SV96 @ SY334 @ SY336 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[448]) ).
thf(459,plain,
! [SV99: b,SV91: a] :
( ( ( ! [SV103: b] :
( ( sK3_SY89 @ SV91 @ SV99 @ SV103 )
= ( sK4_SY132 @ SV91 @ SV99 @ SV103 ) ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[449]) ).
thf(460,plain,
! [SV99: b,SV91: a] :
( ( ( ( sK3_SY89 @ SV91 @ SV99 )
= ( sK4_SY132 @ SV91 @ SV99 ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[449]) ).
thf(461,plain,
! [SV88: a,SV82: a] :
( ( ( ~ ( sK1_Xp @ SV82 @ SV88 ) )
= $false )
| ( ( sK1_Xp @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(462,plain,
! [SV88: a,SV82: a] :
( ( ( ~ ( sK2_SY45 @ SV82 @ SV88 ) )
= $false )
| ( ( sK1_Xp @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[450]) ).
thf(463,plain,
! [SV88: a,SV82: a] :
( ( ( ~ ( sK1_Xp @ SV82 @ SV88 ) )
= $false )
| ( ( sK2_SY45 @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(464,plain,
! [SV88: a,SV82: a] :
( ( ( ~ ( sK2_SY45 @ SV82 @ SV88 ) )
= $false )
| ( ( sK2_SY45 @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[451]) ).
thf(465,plain,
! [SV104: a] :
( ( ( ! [SY337: a] :
( ~ ( sK1_Xp @ SV104 @ SY337 )
| ( sK3_SY89 @ SV104 @ ( sK14_SV85 @ SV104 ) @ ( sK15_SV89 @ SY337 ) ) ) )
= $true )
| ( ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[452]) ).
thf(466,plain,
( ( ( ! [SY321: a,SY322: a] :
( ~ ( sK1_Xp @ SY321 @ SY322 )
| ( sK3_SY89 @ SY321 @ ( sK14_SV85 @ SY321 ) @ ( sK15_SV89 @ SY322 ) ) ) )
= $false )
| ( ( ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[453]) ).
thf(467,plain,
! [SV100: a,SV93: a] :
( ( ( sK1_Xp @ SV93 @ SV100 )
= $false )
| ( ( ! [SY326: b,SY327: b] :
( ~ ( sK3_SY89 @ SV93 @ SY326 @ SY327 )
| ( sK3_SY89 @ SV93 @ SY327 @ SY326 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[454]) ).
thf(468,plain,
! [SV101: a,SV94: a] :
( ( ( sK1_Xp @ SV94 @ SV101 )
= $false )
| ( ( ! [SY329: b,SY330: b,SY331: b] :
( ~ ( sK3_SY89 @ SV94 @ SY329 @ SY330 )
| ~ ( sK3_SY89 @ SV94 @ SY330 @ SY331 )
| ( sK3_SY89 @ SV94 @ SY329 @ SY331 ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[455]) ).
thf(469,plain,
! [SV92: a,SV102: b,SV90: a] :
( ( ( ! [SV105: b] :
( ( sK3_SY89 @ SV90 @ SV102 @ SV105 )
= ( sK3_SY89 @ SV92 @ SV102 @ SV105 ) ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[456]) ).
thf(470,plain,
! [SV92: a,SV102: b,SV90: a] :
( ( ( ( sK3_SY89 @ SV90 @ SV102 )
= ( sK3_SY89 @ SV92 @ SV102 ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[456]) ).
thf(471,plain,
! [SV106: b,SV95: a] :
( ( ( ! [SY338: b] :
( ~ ( sK3_SY89 @ SV95 @ SV106 @ SY338 )
| ( sK3_SY89 @ SV95 @ SY338 @ SV106 ) ) )
= $true )
| ( ( sK1_Xp @ SV95 @ SV95 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[457]) ).
thf(472,plain,
! [SV107: b,SV96: a] :
( ( ( ! [SY339: b,SY340: b] :
( ~ ( sK3_SY89 @ SV96 @ SV107 @ SY339 )
| ~ ( sK3_SY89 @ SV96 @ SY339 @ SY340 )
| ( sK3_SY89 @ SV96 @ SV107 @ SY340 ) ) )
= $true )
| ( ( sK1_Xp @ SV96 @ SV96 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[458]) ).
thf(473,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[459]) ).
thf(474,plain,
! [SV88: a,SV82: a] :
( ( ( sK1_Xp @ SV82 @ SV88 )
= $true )
| ( ( sK1_Xp @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[461]) ).
thf(475,plain,
! [SV88: a,SV82: a] :
( ( ( sK2_SY45 @ SV82 @ SV88 )
= $true )
| ( ( sK1_Xp @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[462]) ).
thf(476,plain,
! [SV88: a,SV82: a] :
( ( ( sK1_Xp @ SV82 @ SV88 )
= $true )
| ( ( sK2_SY45 @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[463]) ).
thf(477,plain,
! [SV88: a,SV82: a] :
( ( ( sK2_SY45 @ SV82 @ SV88 )
= $true )
| ( ( sK2_SY45 @ SV82 @ SV88 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[464]) ).
thf(478,plain,
! [SV109: a,SV104: a] :
( ( ( ~ ( sK1_Xp @ SV104 @ SV109 )
| ( sK3_SY89 @ SV104 @ ( sK14_SV85 @ SV104 ) @ ( sK15_SV89 @ SV109 ) ) )
= $true )
| ( ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_forall_pos,[status(thm)],[465]) ).
thf(479,plain,
( ( ( ! [SY341: a] :
( ~ ( sK1_Xp @ sK16_SY321 @ SY341 )
| ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ SY341 ) ) ) )
= $false )
| ( ( ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[466]) ).
thf(480,plain,
! [SV100: a,SV110: b,SV93: a] :
( ( ( ! [SY342: b] :
( ~ ( sK3_SY89 @ SV93 @ SV110 @ SY342 )
| ( sK3_SY89 @ SV93 @ SY342 @ SV110 ) ) )
= $true )
| ( ( sK1_Xp @ SV93 @ SV100 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[467]) ).
thf(481,plain,
! [SV101: a,SV111: b,SV94: a] :
( ( ( ! [SY343: b,SY344: b] :
( ~ ( sK3_SY89 @ SV94 @ SV111 @ SY343 )
| ~ ( sK3_SY89 @ SV94 @ SY343 @ SY344 )
| ( sK3_SY89 @ SV94 @ SV111 @ SY344 ) ) )
= $true )
| ( ( sK1_Xp @ SV94 @ SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[468]) ).
thf(482,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[469]) ).
thf(483,plain,
! [SV113: b,SV106: b,SV95: a] :
( ( ( ~ ( sK3_SY89 @ SV95 @ SV106 @ SV113 )
| ( sK3_SY89 @ SV95 @ SV113 @ SV106 ) )
= $true )
| ( ( sK1_Xp @ SV95 @ SV95 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[471]) ).
thf(484,plain,
! [SV114: b,SV107: b,SV96: a] :
( ( ( ! [SY345: b] :
( ~ ( sK3_SY89 @ SV96 @ SV107 @ SV114 )
| ~ ( sK3_SY89 @ SV96 @ SV114 @ SY345 )
| ( sK3_SY89 @ SV96 @ SV107 @ SY345 ) ) )
= $true )
| ( ( sK1_Xp @ SV96 @ SV96 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[472]) ).
thf(485,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ~ ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) )
| ~ ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(486,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[473]) ).
thf(487,plain,
! [SV109: a,SV104: a] :
( ( ( ~ ( sK1_Xp @ SV104 @ SV109 ) )
= $true )
| ( ( sK3_SY89 @ SV104 @ ( sK14_SV85 @ SV104 ) @ ( sK15_SV89 @ SV109 ) )
= $true )
| ( ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_or_pos,[status(thm)],[478]) ).
thf(488,plain,
( ( ( ~ ( sK1_Xp @ sK16_SY321 @ sK17_SY341 )
| ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ sK17_SY341 ) ) )
= $false )
| ( ( ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[479]) ).
thf(489,plain,
! [SV100: a,SV115: b,SV110: b,SV93: a] :
( ( ( ~ ( sK3_SY89 @ SV93 @ SV110 @ SV115 )
| ( sK3_SY89 @ SV93 @ SV115 @ SV110 ) )
= $true )
| ( ( sK1_Xp @ SV93 @ SV100 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[480]) ).
thf(490,plain,
! [SV101: a,SV116: b,SV111: b,SV94: a] :
( ( ( ! [SY346: b] :
( ~ ( sK3_SY89 @ SV94 @ SV111 @ SV116 )
| ~ ( sK3_SY89 @ SV94 @ SV116 @ SY346 )
| ( sK3_SY89 @ SV94 @ SV111 @ SY346 ) ) )
= $true )
| ( ( sK1_Xp @ SV94 @ SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[481]) ).
thf(491,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ~ ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) )
| ~ ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(492,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_equal_pos,[status(thm)],[482]) ).
thf(493,plain,
! [SV113: b,SV106: b,SV95: a] :
( ( ( ~ ( sK3_SY89 @ SV95 @ SV106 @ SV113 ) )
= $true )
| ( ( sK3_SY89 @ SV95 @ SV113 @ SV106 )
= $true )
| ( ( sK1_Xp @ SV95 @ SV95 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[483]) ).
thf(494,plain,
! [SV117: b,SV114: b,SV107: b,SV96: a] :
( ( ( ~ ( sK3_SY89 @ SV96 @ SV107 @ SV114 )
| ~ ( sK3_SY89 @ SV96 @ SV114 @ SV117 )
| ( sK3_SY89 @ SV96 @ SV107 @ SV117 ) )
= $true )
| ( ( sK1_Xp @ SV96 @ SV96 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[484]) ).
thf(495,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ~ ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[485]) ).
thf(496,plain,
! [SV109: a,SV104: a] :
( ( ( sK1_Xp @ SV104 @ SV109 )
= $false )
| ( ( sK3_SY89 @ SV104 @ ( sK14_SV85 @ SV104 ) @ ( sK15_SV89 @ SV109 ) )
= $true )
| ( ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[487]) ).
thf(497,plain,
( ( ( ~ ( sK1_Xp @ sK16_SY321 @ sK17_SY341 ) )
= $false )
| ( ( ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(498,plain,
( ( ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ sK17_SY341 ) )
= $false )
| ( ( ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[488]) ).
thf(499,plain,
! [SV100: a,SV115: b,SV110: b,SV93: a] :
( ( ( ~ ( sK3_SY89 @ SV93 @ SV110 @ SV115 ) )
= $true )
| ( ( sK3_SY89 @ SV93 @ SV115 @ SV110 )
= $true )
| ( ( sK1_Xp @ SV93 @ SV100 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[489]) ).
thf(500,plain,
! [SV101: a,SV118: b,SV116: b,SV111: b,SV94: a] :
( ( ( ~ ( sK3_SY89 @ SV94 @ SV111 @ SV116 )
| ~ ( sK3_SY89 @ SV94 @ SV116 @ SV118 )
| ( sK3_SY89 @ SV94 @ SV111 @ SV118 ) )
= $true )
| ( ( sK1_Xp @ SV94 @ SV101 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[490]) ).
thf(501,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ~ ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) ) )
= $true )
| ( ( ~ ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[491]) ).
thf(502,plain,
! [SV113: b,SV106: b,SV95: a] :
( ( ( sK3_SY89 @ SV95 @ SV106 @ SV113 )
= $false )
| ( ( sK3_SY89 @ SV95 @ SV113 @ SV106 )
= $true )
| ( ( sK1_Xp @ SV95 @ SV95 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[493]) ).
thf(503,plain,
! [SV117: b,SV114: b,SV107: b,SV96: a] :
( ( ( ~ ( sK3_SY89 @ SV96 @ SV107 @ SV114 )
| ~ ( sK3_SY89 @ SV96 @ SV114 @ SV117 ) )
= $true )
| ( ( sK3_SY89 @ SV96 @ SV107 @ SV117 )
= $true )
| ( ( sK1_Xp @ SV96 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[494]) ).
thf(504,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[495]) ).
thf(505,plain,
! [SV109: a,SV104: a,SV119: a] :
( ( ( ! [SY347: a] :
( ~ ( sK2_SY45 @ SV119 @ SY347 )
| ( sK4_SY132 @ SV119 @ ( sK14_SV85 @ SV119 ) @ ( sK15_SV89 @ SY347 ) ) ) )
= $true )
| ( ( sK3_SY89 @ SV104 @ ( sK14_SV85 @ SV104 ) @ ( sK15_SV89 @ SV109 ) )
= $true )
| ( ( sK1_Xp @ SV104 @ SV109 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[496]) ).
thf(506,plain,
( ( ( sK1_Xp @ sK16_SY321 @ sK17_SY341 )
= $true )
| ( ( ~ ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[497]) ).
thf(507,plain,
( ( ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $false )
| ( ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ sK17_SY341 ) )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[498]) ).
thf(508,plain,
! [SV100: a,SV115: b,SV110: b,SV93: a] :
( ( ( sK3_SY89 @ SV93 @ SV110 @ SV115 )
= $false )
| ( ( sK3_SY89 @ SV93 @ SV115 @ SV110 )
= $true )
| ( ( sK1_Xp @ SV93 @ SV100 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[499]) ).
thf(509,plain,
! [SV101: a,SV118: b,SV116: b,SV111: b,SV94: a] :
( ( ( ~ ( sK3_SY89 @ SV94 @ SV111 @ SV116 )
| ~ ( sK3_SY89 @ SV94 @ SV116 @ SV118 ) )
= $true )
| ( ( sK3_SY89 @ SV94 @ SV111 @ SV118 )
= $true )
| ( ( sK1_Xp @ SV94 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[500]) ).
thf(510,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[501]) ).
thf(511,plain,
! [SV117: b,SV114: b,SV107: b,SV96: a] :
( ( ( ~ ( sK3_SY89 @ SV96 @ SV107 @ SV114 ) )
= $true )
| ( ( ~ ( sK3_SY89 @ SV96 @ SV114 @ SV117 ) )
= $true )
| ( ( sK3_SY89 @ SV96 @ SV107 @ SV117 )
= $true )
| ( ( sK1_Xp @ SV96 @ SV96 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[503]) ).
thf(512,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(513,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( sK4_SY132 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) ) )
= $true )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[504]) ).
thf(514,plain,
! [SV109: a,SV104: a,SV120: a,SV119: a] :
( ( ( ~ ( sK2_SY45 @ SV119 @ SV120 )
| ( sK4_SY132 @ SV119 @ ( sK14_SV85 @ SV119 ) @ ( sK15_SV89 @ SV120 ) ) )
= $true )
| ( ( sK3_SY89 @ SV104 @ ( sK14_SV85 @ SV104 ) @ ( sK15_SV89 @ SV109 ) )
= $true )
| ( ( sK1_Xp @ SV104 @ SV109 )
= $false ) ),
inference(extcnf_forall_pos,[status(thm)],[505]) ).
thf(515,plain,
( ( ( ! [SY323: a,SY324: a] :
( ~ ( sK2_SY45 @ SY323 @ SY324 )
| ( sK4_SY132 @ SY323 @ ( sK14_SV85 @ SY323 ) @ ( sK15_SV89 @ SY324 ) ) ) )
= $false )
| ( ( sK1_Xp @ sK16_SY321 @ sK17_SY341 )
= $true ) ),
inference(extcnf_not_pos,[status(thm)],[506]) ).
thf(516,plain,
( ( ( ! [SY348: a] :
( ~ ( sK2_SY45 @ sK18_SY323 @ SY348 )
| ( sK4_SY132 @ sK18_SY323 @ ( sK14_SV85 @ sK18_SY323 ) @ ( sK15_SV89 @ SY348 ) ) ) )
= $false )
| ( ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ sK17_SY341 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[507]) ).
thf(517,plain,
! [SV101: a,SV118: b,SV116: b,SV111: b,SV94: a] :
( ( ( ~ ( sK3_SY89 @ SV94 @ SV111 @ SV116 ) )
= $true )
| ( ( ~ ( sK3_SY89 @ SV94 @ SV116 @ SV118 ) )
= $true )
| ( ( sK3_SY89 @ SV94 @ SV111 @ SV118 )
= $true )
| ( ( sK1_Xp @ SV94 @ SV101 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[509]) ).
thf(518,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(519,plain,
! [SV90: a,SV112: b,SV102: b,SV92: a] :
( ( ( sK3_SY89 @ SV92 @ SV102 @ SV112 )
= $false )
| ( ( ~ ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) ) )
= $true )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[510]) ).
thf(520,plain,
! [SV117: b,SV114: b,SV107: b,SV96: a] :
( ( ( sK3_SY89 @ SV96 @ SV107 @ SV114 )
= $false )
| ( ( ~ ( sK3_SY89 @ SV96 @ SV114 @ SV117 ) )
= $true )
| ( ( sK3_SY89 @ SV96 @ SV107 @ SV117 )
= $true )
| ( ( sK1_Xp @ SV96 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[511]) ).
thf(521,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) )
= $false )
| ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[512]) ).
thf(522,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
| ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) )
= $false )
| ( ( sK4_SY132 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[513]) ).
thf(523,plain,
! [SV109: a,SV104: a,SV120: a,SV119: a] :
( ( ( ~ ( sK2_SY45 @ SV119 @ SV120 ) )
= $true )
| ( ( sK4_SY132 @ SV119 @ ( sK14_SV85 @ SV119 ) @ ( sK15_SV89 @ SV120 ) )
= $true )
| ( ( sK3_SY89 @ SV104 @ ( sK14_SV85 @ SV104 ) @ ( sK15_SV89 @ SV109 ) )
= $true )
| ( ( sK1_Xp @ SV104 @ SV109 )
= $false ) ),
inference(extcnf_or_pos,[status(thm)],[514]) ).
thf(524,plain,
( ( ( ! [SY349: a] :
( ~ ( sK2_SY45 @ sK19_SY323 @ SY349 )
| ( sK4_SY132 @ sK19_SY323 @ ( sK14_SV85 @ sK19_SY323 ) @ ( sK15_SV89 @ SY349 ) ) ) )
= $false )
| ( ( sK1_Xp @ sK16_SY321 @ sK17_SY341 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[515]) ).
thf(525,plain,
( ( ( ~ ( sK2_SY45 @ sK18_SY323 @ sK20_SY348 )
| ( sK4_SY132 @ sK18_SY323 @ ( sK14_SV85 @ sK18_SY323 ) @ ( sK15_SV89 @ sK20_SY348 ) ) )
= $false )
| ( ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ sK17_SY341 ) )
= $false ) ),
inference(extcnf_forall_neg,[status(esa)],[516]) ).
thf(526,plain,
! [SV101: a,SV118: b,SV116: b,SV111: b,SV94: a] :
( ( ( sK3_SY89 @ SV94 @ SV111 @ SV116 )
= $false )
| ( ( ~ ( sK3_SY89 @ SV94 @ SV116 @ SV118 ) )
= $true )
| ( ( sK3_SY89 @ SV94 @ SV111 @ SV118 )
= $true )
| ( ( sK1_Xp @ SV94 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[517]) ).
thf(527,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) )
= $false )
| ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[518]) ).
thf(528,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
| ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) )
= $false )
| ( ( sK3_SY89 @ SV92 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[519]) ).
thf(529,plain,
! [SV107: b,SV117: b,SV114: b,SV96: a] :
( ( ( sK3_SY89 @ SV96 @ SV114 @ SV117 )
= $false )
| ( ( sK3_SY89 @ SV96 @ SV107 @ SV114 )
= $false )
| ( ( sK3_SY89 @ SV96 @ SV107 @ SV117 )
= $true )
| ( ( sK1_Xp @ SV96 @ SV96 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[520]) ).
thf(530,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 ) )
= $false )
| ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(531,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) )
= $false )
| ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[521]) ).
thf(532,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ~ ( sK3_SY89 @ SV91 @ SV99 @ SV108 ) )
= $false )
| ( ( sK4_SY132 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(533,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( ~ ( sK4_SY132 @ SV91 @ SV99 @ SV108 ) )
= $false )
| ( ( sK4_SY132 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[522]) ).
thf(534,plain,
! [SV109: a,SV104: a,SV120: a,SV119: a] :
( ( ( sK2_SY45 @ SV119 @ SV120 )
= $false )
| ( ( sK4_SY132 @ SV119 @ ( sK14_SV85 @ SV119 ) @ ( sK15_SV89 @ SV120 ) )
= $true )
| ( ( sK3_SY89 @ SV104 @ ( sK14_SV85 @ SV104 ) @ ( sK15_SV89 @ SV109 ) )
= $true )
| ( ( sK1_Xp @ SV104 @ SV109 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[523]) ).
thf(535,plain,
( ( ( ~ ( sK2_SY45 @ sK19_SY323 @ sK21_SY349 )
| ( sK4_SY132 @ sK19_SY323 @ ( sK14_SV85 @ sK19_SY323 ) @ ( sK15_SV89 @ sK21_SY349 ) ) )
= $false )
| ( ( sK1_Xp @ sK16_SY321 @ sK17_SY341 )
= $true ) ),
inference(extcnf_forall_neg,[status(esa)],[524]) ).
thf(536,plain,
( ( ( ~ ( sK2_SY45 @ sK18_SY323 @ sK20_SY348 ) )
= $false )
| ( ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ sK17_SY341 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(537,plain,
( ( ( sK4_SY132 @ sK18_SY323 @ ( sK14_SV85 @ sK18_SY323 ) @ ( sK15_SV89 @ sK20_SY348 ) )
= $false )
| ( ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ sK17_SY341 ) )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[525]) ).
thf(538,plain,
! [SV101: a,SV111: b,SV118: b,SV116: b,SV94: a] :
( ( ( sK3_SY89 @ SV94 @ SV116 @ SV118 )
= $false )
| ( ( sK3_SY89 @ SV94 @ SV111 @ SV116 )
= $false )
| ( ( sK3_SY89 @ SV94 @ SV111 @ SV118 )
= $true )
| ( ( sK1_Xp @ SV94 @ SV101 )
= $false ) ),
inference(extcnf_not_pos,[status(thm)],[526]) ).
thf(539,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 ) )
= $false )
| ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(540,plain,
! [SV90: a,SV112: b,SV102: b,SV92: a] :
( ( ( ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) )
= $false )
| ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[527]) ).
thf(541,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( ~ ( sK3_SY89 @ SV90 @ SV102 @ SV112 ) )
= $false )
| ( ( sK3_SY89 @ SV92 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(542,plain,
! [SV90: a,SV112: b,SV102: b,SV92: a] :
( ( ( ~ ( sK3_SY89 @ SV92 @ SV102 @ SV112 ) )
= $false )
| ( ( sK3_SY89 @ SV92 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_or_neg,[status(thm)],[528]) ).
thf(543,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= $true )
| ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[530]) ).
thf(544,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( sK4_SY132 @ SV91 @ SV99 @ SV108 )
= $true )
| ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[531]) ).
thf(545,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( sK3_SY89 @ SV91 @ SV99 @ SV108 )
= $true )
| ( ( sK4_SY132 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[532]) ).
thf(546,plain,
! [SV108: b,SV99: b,SV91: a] :
( ( ( sK4_SY132 @ SV91 @ SV99 @ SV108 )
= $true )
| ( ( sK4_SY132 @ SV91 @ SV99 @ SV108 )
= $false )
| ( ( sK1_Xp @ SV91 @ SV91 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[533]) ).
thf(547,plain,
( ( ( ~ ( sK2_SY45 @ sK19_SY323 @ sK21_SY349 ) )
= $false )
| ( ( sK1_Xp @ sK16_SY321 @ sK17_SY341 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(548,plain,
( ( ( sK4_SY132 @ sK19_SY323 @ ( sK14_SV85 @ sK19_SY323 ) @ ( sK15_SV89 @ sK21_SY349 ) )
= $false )
| ( ( sK1_Xp @ sK16_SY321 @ sK17_SY341 )
= $true ) ),
inference(extcnf_or_neg,[status(thm)],[535]) ).
thf(549,plain,
( ( ( sK2_SY45 @ sK18_SY323 @ sK20_SY348 )
= $true )
| ( ( sK3_SY89 @ sK16_SY321 @ ( sK14_SV85 @ sK16_SY321 ) @ ( sK15_SV89 @ sK17_SY341 ) )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[536]) ).
thf(550,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= $true )
| ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[539]) ).
thf(551,plain,
! [SV90: a,SV112: b,SV102: b,SV92: a] :
( ( ( sK3_SY89 @ SV92 @ SV102 @ SV112 )
= $true )
| ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[540]) ).
thf(552,plain,
! [SV92: a,SV112: b,SV102: b,SV90: a] :
( ( ( sK3_SY89 @ SV90 @ SV102 @ SV112 )
= $true )
| ( ( sK3_SY89 @ SV92 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[541]) ).
thf(553,plain,
! [SV90: a,SV112: b,SV102: b,SV92: a] :
( ( ( sK3_SY89 @ SV92 @ SV102 @ SV112 )
= $true )
| ( ( sK3_SY89 @ SV92 @ SV102 @ SV112 )
= $false )
| ( ( sK1_Xp @ SV90 @ SV92 )
= $false ) ),
inference(extcnf_not_neg,[status(thm)],[542]) ).
thf(554,plain,
( ( ( sK2_SY45 @ sK19_SY323 @ sK21_SY349 )
= $true )
| ( ( sK1_Xp @ sK16_SY321 @ sK17_SY341 )
= $true ) ),
inference(extcnf_not_neg,[status(thm)],[547]) ).
thf(555,plain,
$false = $true,
inference(fo_atp_e,[status(thm)],[375,554,553,552,551,550,549,548,546,545,544,543,538,537,534,529,508,502,492,486,477,476,475,474,470,460,446,438,429,421,409,403,401,391,385]) ).
thf(556,plain,
$false,
inference(solved_all_splits,[solved_all_splits(join,[])],[555,190,364]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SEV041^5 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.16 % Computer : n017.cluster.edu
% 0.10/0.16 % Model : x86_64 x86_64
% 0.10/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.16 % Memory : 8046.5625MB
% 0.10/0.16 % OS : Linux 6.8.0-71-generic
% 0.10/0.16 % CPULimit : 300
% 0.10/0.16 % WCLimit : 300
% 0.10/0.16 % DateTime : Tue Oct 6 15:35:16 UTC 2026
% 0.10/0.16 % CPUTime :
% 0.10/0.16 Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 24.51/4.39
% 24.51/4.39 No.of.Axioms: 0
% 24.51/4.39
% 24.51/4.39 Length.of.Defs: 0
% 24.51/4.39
% 24.51/4.39 Contains.Choice.Funs: false
% 24.51/4.39 .................
% 24.51/4.39
% 24.51/4.39 ********************************
% 24.51/4.39 * All subproblems solved! *
% 24.51/4.39 ********************************
% 24.51/4.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:555,loop_count:0,foatp_calls:1,translation:fof_experiment)
% 24.51/4.39
% 24.51/4.39 %**** Beginning of derivation protocol ****
% 24.51/4.39 % SZS output start CNFRefutation
% See solution above
% 0.16/4.40
% 0.16/4.40 %**** End of derivation protocol ****
% 0.16/4.40 %**** no. of clauses in derivation: 556 ****
% 0.16/4.40 %**** clause counter: 555 ****
% 0.16/4.40
% 0.16/4.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:5,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:555,loop_count:0,foatp_calls:1,translation:fof_experiment)
%------------------------------------------------------------------------------